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Example Questions
Example Question #21 : How To Find X Or Y Intercept
What is the y-intercept of the following line:
?
The y-intercept is precisely the point in which the x-value is . Thus, we plug in
to our equation and solve for
.
Thus our intercept is .
Example Question #21 : How To Find X Or Y Intercept
What is the -intercept of the equation?
To find the x-intercept of an equation, set the value equal to zero and solve for
.
Subtract from both sides.
Divide both sides by .
Since the x-intercept is a point, we will write our answer in point notation: .
Example Question #22 : How To Find X Or Y Intercept
Find the -intercept of
.
Put the equation in slope-intercept form, y = mx + b, where m is the slope and b is the y-intercept.
-5y = 3x + 10
y = (-3/5)x + 10/(-5)
Now we can easily see that is the
-intercept.
Example Question #23 : How To Find X Or Y Intercept
A straight line passes through the points and
.
What is the -intercept of this line?
First calculate the slope:
The standard equation for a line is .
In this equation, is the slope of the line, and
is the
-intercept. All points on the line must fit this equation. Plug in either point (1,3) or (2,2).
Plugging in (1,3) we get .
Therefore, .
Our equation for the line is now:
To find the -intercept, we plug in
:
Thus, the -intercept the point (4,0).
Example Question #24 : How To Find X Or Y Intercept
Calculate the y-intercept of the line depicted by the equation below.
To find the y-intercept, let equal 0.
We can then solve for the value of .
The y-intercept will be .
Example Question #25 : How To Find X Or Y Intercept
What is the x-intercept of ?
To find the x-intercept, set y equal to zero and solve:
Subtract from both sides:
Divide both sides by to isolate x:
Example Question #26 : How To Find X Or Y Intercept
What is the y-intercept of the equation?
To find the y-intercept, we set the value equal to zero and solve for the
value.
Since the y-intercept is a point, we will need to convert our answer to point notation.
All High School Math Resources
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