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Example Questions
Example Question #2 : Angles
The angles are supplementary, therefore, the sum of the angles must equal .
Example Question #3 : Angles
Are and
supplementary angles?
Yes
No
Not enough information
Yes
Since supplementary angles must add up to , the given angles are indeed supplementary.
Example Question #1 : Angles
The angles containing the variable all reside along one line, therefore, their sum must be
.
Because and
are opposite angles, they must be equal.
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 .
Example Question #1 : Determine The Equation Of A Linear Function
What is the equation of the line that passes through the points and
?
Express your answer in form.
None of the other answers.
First, we need to compute , the slope. We can do this with the slope formula
, sometimes called "rise over run"
So we now have
Now in order to solve for we substitute one of our points into the equation we found. It doesn't matter which point we use, so we'll use
.
We then have:
Which becomes .
Hence we take our found value for and plug it back into
to get
.
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