All GED Math Resources
Example Questions
Example Question #41 : 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 #42 : 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 #282 : 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 #281 : Algebra
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 #51 : Finding Slope And Intercepts
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 #53 : Finding Slope And Intercepts
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 #54 : Finding Slope And Intercepts
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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