All Algebra 1 Resources
Example Questions
Example Question #20 : How To Find Slope Of A Line
Determine the slope and y-intercept of the following equation.
None of these
Slope:
Y-intercept:
Slope:
Y-intercept:
Slope:
Y-intercept:
Slope:
Y-intercept:
Slope:
Y-intercept:
You see that this equation is not written explicitly in terms of . Before we can determine the slope and y-intercept, we need to write the equation explicitly in terms of by solving for .
First, add to both sides.
Then subtract to both sides.
Finally, divide by .
Now that the equation is explicitly in terms of , we can compare it to the general formula of a straight line in slope-intercept form.
In this equation, is equal to the slope and is equal to the y-intercept. Comparing our given equation to the formula, we can see that and .
Since the y-intercept is a point, we will want to write it in point notation: .
Example Question #21 : How To Find Slope Of A Line
There are two points: and .
If these points are connected by a straight line, what is the slope of this straight line?
To determine the slope, we use the following formula.
In the formula, the two points making up that slope are and . In our case, our two points are and . Using these values in the formula allows us to solve for the slope.
The slope is .
Example Question #21 : How To Find Slope Of A Line
Find the slope of the line that passes through the points (0,2) and (5,-2).
To find the slope of the line passing through the given points, we need to find the change in y and divide it by the change in x. This can also be written as . In our case, we have
Example Question #23 : How To Find Slope Of A Line
Find the slope of the line using the following given points:
(2,5), (5,6), (8,7)
To find the slope, divide the change in by the change in .
So,
Check your answer by using the same equation on another pair of points:
It's the same! So the answer is .
Example Question #24 : How To Find Slope Of A Line
What is the y-intercept of the line
To easily determine an equation's y-intercept, convert it to the form, where the represents the equation's y-intercept.
Converting the given equation to this form gives you
with a y-intercept of .
Example Question #25 : How To Find Slope Of A Line
The line given by the equation has a slope of ______ and a y-intercept of ______.
The equation can be rearranged to slope-intercept form to give:
From here, it can be deduced that the slope is and the y-intercept is .
Example Question #32 : Properties Of Functions And Graphs
What is the slope of the line depicted by this equation?
This equation is written in standard form, that is, where the slope is equal to .
In this instance and
This question can also be solved by converting the slope-intercept form: .
Example Question #26 : How To Find Slope Of A Line
What is the slope of a line if the points on the line are and ?
Write the formula to find slope.
The values are interchangable as long as they are in the correct order.
The formulas yield similar slopes.
The correct answer is .
Example Question #21 : How To Find Slope Of A Line
Fnd the slope of the following equation:
To find the slope, we need to get the equation in the form of to identify the value of the slope, .
Add to both sides.
Divide both sides by 7.
.
Now we can see that our slope is the coefficient in front of the , which is just 1.
Example Question #3712 : Algebra 1
Find the slope of the following equation:
Remember that the equation of a line is given as , where is the slope and is the y intercept.
To get out equation in that form so we can identify what our is, we need to isolate on one side and all other terms on the other side.
Now, to get just , divide both sides by 3.
.
Now, we can easily identify our slope as .
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