All Precalculus Resources
Example Questions
Example Question #1 : Graph A Linear Function
Which of the following could be the function modeled by this graph?
Which of the following could be the function modeled by this graph?
We can begin here by trying to identify a couple points on the graph
We can see that it crosses the y-axis at
Therefore, not only do we have a point, we have the y-intercept. This tells us that the equation of the line needs to have a in it somewhere. Eliminate any option that do not have this feature.
Next, find the slope by counting up and over from the y-intercept to the next clear point.
It seems like the line goes up 5 and right 1 to the point
This means we have a slope of 5, which means our equation must look like this:
Example Question #931 : Pre Calculus
Find the slope of the linear function
For the linear function in point-slope form
The slope is equal to
For this problem
we get
Example Question #932 : Pre Calculus
Find the slope of the linear function
For the linear function in point-slope form
The slope is equal to
For this problem
we get
Example Question #3 : Graph A Linear Function
What is the y-intercept of the line below?
By definition, the y-intercept is the point on the line that crosses the y-axis. This can be found by substituting into the equation. When we do this with our equation,
.
Alternatively, you can remember form, a general form for a line in which
is the slope and
is the y-intercept.
Example Question #1 : Graph A Linear Function
What is the slope of the line below?
Recall slope-intercept form, or . In this form,
is the slope and
is the y-intercept. Given our equation above, the slope must be the coefficient of the x, which is
.
Example Question #1 : Linear Functions
What is the x-intercept of the equation below?
The x-intercept of an equation is the point at which the line crosses the x-axis. Thus, we can find the x-intercept by plugging in . When we do this with our equation:
Thus, our x-intercept is the point .
Certified Tutor
All Precalculus Resources
![Learning Tools by Varsity Tutors](https://vt-vtwa-app-assets.varsitytutors.com/assets/problems/og_image_practice_problems-9cd7cd1b01009043c4576617bc620d0d5f9d58294f59b6d6556fd8365f7440cf.jpg)