plot the point on this function with an x - value of 3. what is the y - value of this point?

Explanation:

Step1: Locate x - value on graph

Locate x = 3 on the x - axis.

Step2: Find corresponding y - value

Move vertically from x = 3 until intersecting the line. Read the y - value. The line passes through (0,8) and (10,1). The slope $m=\frac{1 - 8}{10-0}=-\frac{7}{10}$. Using the point - slope form $y - y_1=m(x - x_1)$ with $(x_1,y_1)=(0,8)$, we have $y-8=-\frac{7}{10}(x - 0)$. When $x = 3$, $y=8-\frac{7}{10}\times3=8 - 2.1 = 5.9$.

Answer:

5.9