Answer:
Box A: y = -1/2x + 8
Box B: y = -9x + 4
Box C: y = 3x + 2
Box D: y = 1/3x + 10
Box E: y = -2x + 9
Box F: y = 1/4x + -5
Step-by-step explanation:
Box A (C, and E)
We can find the slope of the line by counting rise over run: down 2, right 4. So the slope is
[tex]\frac{-2}{4}=\frac{-1}{2}[/tex]
The y-intercept is the point at which the graph crosses the y-axis. We see that it crosses at 8.
We can follow the same procedures for Box C and Box E.
Box B (D and F)
To find the slope, we will need to use the slope formula:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
We can use any two points for this, so let's use the first two, (-4, 40) and (0,4):
[tex]m=\frac{y_2-y_1}{x_2-x_1} \\m=\frac{4-40}{0-(-4)}\\m=\frac{-36}{4}\\m=-9[/tex]
Then, we can find the y-intercept by using the point with an x-value of 0. For Box B, that would be the point (0,4). So the y-intercept is 4.
We can follow those procedures for boxes D and F.
