This question is asking for the equation of the line shown in the graph.
The line is referred to as a linear function since it is straight, has a constant difference, and is not curved.
The possible answers are in y = mx + b form, known as slope-intercept form.
In slope-intercept form, m is the slope and b is the y-intercept.
Let's start by finding the slope.
Slope is the rise over the run.
In other words, units up or down divided by units left or right between two points.
Let's use points (-1, 3) and (0, -2).
Rise is the change in y-values.
In this case, that means the difference between 3 and -2.
3 - (-2) is the same as 3 + 2, which is 5.
We subtract since the rise goes down and the slope is negative.
So the rise between these points is 5.
Run is the change in x-values.
Using the specified points, this means the difference between -1 and 0.
This would be -1 - 0, which is equal to -1.
So the rise of the line is 5, while the run is -1.
This means the rise over run is 5 over -1.
Dividing 5 by -1, we are left with -5.
This is the slope.
So m, or the slope, is equal to -5.
Now we must find the y-intercept.
The y-intercept is the y-value where x = 0.
In this case, the y is -2 where x is 0.
So b, or the y-intercept, is equal to -2.
Slope = -5
Y-intercept = -2
Using this information, we can find the equation of the line in slope-intercept form.
y = mx + b
m = slope = -5
b = y-intercept = -2
y = -5x - 2 is the answer
The answer is C. y = -5x - 2.
Hope this helps!