All GED Math Resources
Example Questions
Example Question #42 : Finding Slope And Intercepts
The point appears on a line with slope
. What is the
intercept of the line?
For this problem you are given two values, the coordinates of a point, and the slope. The missing value is the intercept. You therefore need to plug in what you know to the slope-intercept equation -
- and solve for what you don't know.
is the
coordinate of your point,
is the slope,
is the
coordinate of your point, and
is the
intercept. So, you know
,
, and
and you need to solve for
.
Once you plug in for
,
for
, and
for
, you get
, which simplifies to
. After you subtract the
from both sides of the equation, you find out that
. Therefore, your
intercept is
.
Example Question #41 : Finding Slope And Intercepts
Find the y-intercept of the following linear equation:
Find the y-intercept of the following linear equation:
The y intercept is where a line crosses the y-axis. At this point, our x value must be 0.
To find our y intercept, we simply need to plug in 0 for x and solve for y.
So, our answer is:
Example Question #112 : Linear Algebra
Find the slope of the following linear equation:
Find the slope of the following linear equation:
We can find the slope by solving this equation for y.
First, add 48 to both sides
Next, divide both sides by 4
Now, our slope is simply the number attached to our x variable. In this case, it is 4
Example Question #841 : Ged Math
Find the x-intercept of the following linear equation:
Find the x-intercept of the following linear equation:
The x-intercept is where a line crosses the x axis. At the x-intercept the y value must be equal to 0.
To find our x-intercept, we are going to plug in 0 for y and solve.
Next, divide by 16.
So as an ordered pair, our answer is:
Example Question #841 : Ged Math
A line on the coordinate plane has slope . Give the slope of a line parallel to this line.
Two parallel lines have the same slope, or are both vertical. Since the first line has slope , a line parallel to this line must have slope
also.
Example Question #844 : Ged Math
What is the y-intercept of a line that has a slope of and passes through the point
?
Recall what the slope-intercept form of an equation looks like:
Start by writing the equation in point-slope form:
Simplify this equation and re-write it into slope-intercept form.
Since the value of is
, the y-intercept is located at
.
Example Question #842 : Ged Math
What is the y-intercept of the equation that has a slope of and passes through the point
?
Recall the point-slope form of the equation of a line:
, where
is the slope, and
is the given point.
Put the given line into point-slope form.
Rearrange the equation so that it is in slope-intercept form.
Since , the y-intercept must be at
.
Example Question #52 : Finding Slope And Intercepts
What is the y-intercept for the line that goes through the point and has a slope of
?
Start by writing out the equation of the line in point-slope form.
Rearrange the equation into slope-intercept form.
Now, since , the line's y-intercept must be located at
.
Example Question #842 : Ged Math
Where do the following equations intercept?
If we want to find where the equations intercept, you need to set them equal to each other. So,
becomes,
Subtract 1 from both sides to get the variable by itself,
Divide both sides by 3,
gives us our final answer of
Example Question #842 : Ged Math
Find the slope between and
.
Step 1: Recall the formula to find slope:
Step 2: Find the values of .
According to the problem:
Step 3: Plug in...
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