Graph Proportional Relationships, Interpreting the Unit Rate as the Slope: CCSS.Math.Content.8.EE.B.5 - 8th Grade Math
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Given points
and
, what is the slope of the line connecting them?
Given points and
, what is the slope of the line connecting them?
Write the slope formula. Plug in the points and solve.

Write the slope formula. Plug in the points and solve.
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What is the slope of the line that passes through the points
and
?
What is the slope of the line that passes through the points and
?
The slope of a line is sometimes referred to as "rise over run." This is because the formula for slope is the change in y-value (rise) divided by the change in x-value (run). Therefore, if you are given two points,
and
, the slope of their line can be found using the following formula: 
This gives us
.
The slope of a line is sometimes referred to as "rise over run." This is because the formula for slope is the change in y-value (rise) divided by the change in x-value (run). Therefore, if you are given two points, and
, the slope of their line can be found using the following formula:
This gives us .
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Given the points
and
, find the slope of the line.
Given the points and
, find the slope of the line.
The formula for the slope of a line is
.
We then plug in the points given:
which is then reduced to
.
The formula for the slope of a line is .
We then plug in the points given: which is then reduced to
.
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What is the slope of the line connecting the points
and
?
What is the slope of the line connecting the points and
?
Write the slope formula. Plug in the point, and simplify.

Write the slope formula. Plug in the point, and simplify.
Compare your answer with the correct one above
What is the slope of a line with an
-intercept is
and another
-intercept of
?
What is the slope of a line with an -intercept is
and another
-intercept of
?
The
-intercept is the
value when
.
Therefore, since the two
-intercepts are
and
, the points are
and
.
Write the slope formula, plug in the values, and solve.

The slope is zero.
The -intercept is the
value when
.
Therefore, since the two -intercepts are
and
, the points are
and
.
Write the slope formula, plug in the values, and solve.
The slope is zero.
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What is the slope m of the line below?

What is the slope m of the line below?
To answer this question you should realize that the equation for the line is given in point - slope form. The standard point slope form of a line is given below:

m represents the slope of the line so all we have to do is recognize the correct line form and we automatically know that the slope is 
To answer this question you should realize that the equation for the line is given in point - slope form. The standard point slope form of a line is given below:
m represents the slope of the line so all we have to do is recognize the correct line form and we automatically know that the slope is
Compare your answer with the correct one above
A line crosses the x-axis at
and the y-axis at
. What is the slope of this line?
A line crosses the x-axis at and the y-axis at
. What is the slope of this line?
Given the points,
.
We compute slope (m) as follows:

Given the points,
.
We compute slope (m) as follows:
Compare your answer with the correct one above
Find the slope of the line that passes through the points:
and 
Find the slope of the line that passes through the points:
and
Recall that the slope of a line also measures how steep the line is. Use the following equation to find the slope of the line:

Now, substitute in the information using the given points.

Simplify.

Solve.

Recall that the slope of a line also measures how steep the line is. Use the following equation to find the slope of the line:
Now, substitute in the information using the given points.
Simplify.
Solve.
Compare your answer with the correct one above
Find the slope of the line that passes through the points:
and 
Find the slope of the line that passes through the points:
and
Recall that the slope of a line also measures how steep the line is. Use the following equation to find the slope of the line:

Now, substitute in the information using the given points.

Simplify.

Solve.

Recall that the slope of a line also measures how steep the line is. Use the following equation to find the slope of the line:
Now, substitute in the information using the given points.
Simplify.
Solve.
Compare your answer with the correct one above
Find the slope of the line that passes through the points:
and 
Find the slope of the line that passes through the points:
and
Recall that the slope of a line also measures how steep the line is. Use the following equation to find the slope of the line:

Now, substitute in the information using the given points.

Simplify.

Solve.

Recall that the slope of a line also measures how steep the line is. Use the following equation to find the slope of the line:
Now, substitute in the information using the given points.
Simplify.
Solve.
Compare your answer with the correct one above
Find the slope of the line that passes through the points:
and 
Find the slope of the line that passes through the points:
and
Recall that the slope of a line also measures how steep the line is. Use the following equation to find the slope of the line:

Now, substitute in the information using the given points.

Simplify.

Solve.

Recall that the slope of a line also measures how steep the line is. Use the following equation to find the slope of the line:
Now, substitute in the information using the given points.
Simplify.
Solve.
Compare your answer with the correct one above
Find the slope of the line that passes through the points:
and 
Find the slope of the line that passes through the points:
and
Recall that the slope of a line also measures how steep the line is. Use the following equation to find the slope of the line:

Now, substitute in the information using the given points.

Simplify.

Solve.

Recall that the slope of a line also measures how steep the line is. Use the following equation to find the slope of the line:
Now, substitute in the information using the given points.
Simplify.
Solve.
Compare your answer with the correct one above
Select the graph that has a unit rate of 
Select the graph that has a unit rate of
The unit rate of a graph is the slope of the graph. To solve for the slope we can use the following formula:

Based on our formula, we first need to find two points for each of the graph, and then we can solve for the slope.
Graph A
Points:
and 
Slope: 
Graph B
Points:
and 
Slope: 
Graph C
Points:
and 
Slope: 
Graph D
Points:
and 
Slope: 
We are looking for the graph with a slope, or unit rate, of
; thus, our correct answer is Graph A.
The unit rate of a graph is the slope of the graph. To solve for the slope we can use the following formula:
Based on our formula, we first need to find two points for each of the graph, and then we can solve for the slope.
Graph A
Points: and
Slope:
Graph B
Points: and
Slope:
Graph C
Points: and
Slope:
Graph D
Points: and
Slope:
We are looking for the graph with a slope, or unit rate, of ; thus, our correct answer is Graph A.
Compare your answer with the correct one above
Select the graph that has a unit rate of 
Select the graph that has a unit rate of
The unit rate of a graph is the slope of the graph. To solve for the slope we can use the following formula:

Based on our formula, we first need to find two points for each of the graphs, and then we can solve for the slope.
Graph A
Points:
and 
Slope: 
Graph B
Points:
and 
Slope: 
Graph C
Points:
and 
Slope: 
Graph D
Points:
and 
Slope: 
We are looking for the graph with a slope, or unit rate, of
; thus, our correct answer is Graph D.
The unit rate of a graph is the slope of the graph. To solve for the slope we can use the following formula:
Based on our formula, we first need to find two points for each of the graphs, and then we can solve for the slope.
Graph A
Points: and
Slope:
Graph B
Points: and
Slope:
Graph C
Points: and
Slope:
Graph D
Points: and
Slope:
We are looking for the graph with a slope, or unit rate, of ; thus, our correct answer is Graph D.
Compare your answer with the correct one above
Select the graph that has a unit rate of 
Select the graph that has a unit rate of
The unit rate of a graph is the slope of the graph. To solve for the slope we can use the following formula:

Based on our formula, we first need to find two points for each of the graphs, and then we can solve for the slope.
Graph A
Points:
and 
Slope: 
Graph B
Points:
and 
Slope: 
Graph C
Points:
and 
Slope: 
Graph D
Points:
and 
Slope: 
We are looking for the graph with a slope, or unit rate, of
; thus, our correct answer is Graph C.
The unit rate of a graph is the slope of the graph. To solve for the slope we can use the following formula:
Based on our formula, we first need to find two points for each of the graphs, and then we can solve for the slope.
Graph A
Points: and
Slope:
Graph B
Points: and
Slope:
Graph C
Points: and
Slope:
Graph D
Points: and
Slope:
We are looking for the graph with a slope, or unit rate, of ; thus, our correct answer is Graph C.
Compare your answer with the correct one above
Select the graph that has a unit rate of 
Select the graph that has a unit rate of
The unit rate of a graph is the slope of the graph. To solve for the slope we can use the following formula:

Based on our formula, we first need to find two points for each of the graphs, and then we can solve for the slope.
Graph A
Points:
and 
Slope: 
Graph B
Points:
and 
Slope: 
Graph C
Points:
and 
Slope: 
Graph D
Points:
and 
Slope: 
We are looking for the graph with a slope, or unit rate, of
; thus, our correct answer is Graph B.
The unit rate of a graph is the slope of the graph. To solve for the slope we can use the following formula:
Based on our formula, we first need to find two points for each of the graphs, and then we can solve for the slope.
Graph A
Points: and
Slope:
Graph B
Points: and
Slope:
Graph C
Points: and
Slope:
Graph D
Points: and
Slope:
We are looking for the graph with a slope, or unit rate, of ; thus, our correct answer is Graph B.
Compare your answer with the correct one above
Select the graph with the greatest unit rate.
Select the graph with the greatest unit rate.
The highest unit rate means that the slope is the highest. So, first we ned to solve for our slopes.
To solve for the slope we can use the following formula:

Based on our formula, we first need to find two points for each of the graphs, and then we can solve for the slope.
Graph A
Points:
and 
Slope: 
Graph B
Points:
and 
Slope: 
Graph C
Points:
and 
Slope: 
Graph D
Points:
and 
Slope: 
We are looking for the graph with the greatest slope, or unit rate; thus, our correct answer is Graph B.
The highest unit rate means that the slope is the highest. So, first we ned to solve for our slopes.
To solve for the slope we can use the following formula:
Based on our formula, we first need to find two points for each of the graphs, and then we can solve for the slope.
Graph A
Points: and
Slope:
Graph B
Points: and
Slope:
Graph C
Points: and
Slope:
Graph D
Points: and
Slope:
We are looking for the graph with the greatest slope, or unit rate; thus, our correct answer is Graph B.
Compare your answer with the correct one above
Select the graph with the lowest unit rate.
Select the graph with the lowest unit rate.
The lowest unit rate means that the slope is the lowest. So, first wee ned to solve for our slopes.
To solve for the slope we can use the following formula:

Based on our formula, we first need to find two points for each of the graphs, and then we can solve for the slope.
Graph A
Points:
and 
Slope: 
Graph B
Points:
and 
Slope: 
Graph C
Points:
and 
Slope: 
Graph D
Points:
and 
Slope: 
We are looking for the graph with the lowest slope, or unit rate; thus, our correct answer is Graph A.
The lowest unit rate means that the slope is the lowest. So, first wee ned to solve for our slopes.
To solve for the slope we can use the following formula:
Based on our formula, we first need to find two points for each of the graphs, and then we can solve for the slope.
Graph A
Points: and
Slope:
Graph B
Points: and
Slope:
Graph C
Points: and
Slope:
Graph D
Points: and
Slope:
We are looking for the graph with the lowest slope, or unit rate; thus, our correct answer is Graph A.
Compare your answer with the correct one above
Select the equation that shows the greatest unit rate.
Select the equation that shows the greatest unit rate.
Unit rate is the slope of an equation. The equations in our answer options are written in slope intercept form:

is always the slope, and
is the
-intercept.
We are looking for the equation with the greatest unit rate, or slope. Based on our options
is the greatest value of
; thus our correct answer is 
Unit rate is the slope of an equation. The equations in our answer options are written in slope intercept form:
is always the slope, and
is the
-intercept.
We are looking for the equation with the greatest unit rate, or slope. Based on our options is the greatest value of
; thus our correct answer is
Compare your answer with the correct one above
Select the equation that shows the lowest unit rate.
Select the equation that shows the lowest unit rate.
Unit rate is the slope of an equation. The equations in our answer options are written in slope intercept form:

is always the slope, and
is the
-intercept.
We are looking for the equation with the lowest unit rate, or slope. Based on our options
is the lowest value of
; thus our correct answer is 
Unit rate is the slope of an equation. The equations in our answer options are written in slope intercept form:
is always the slope, and
is the
-intercept.
We are looking for the equation with the lowest unit rate, or slope. Based on our options is the lowest value of
; thus our correct answer is
Compare your answer with the correct one above