Question

use the graph to make the estimates.
(a) estimate the y - intercept. write it as a point (x, y).
(x, y)=(0,2)
(b) estimate the x - intercept. write it as a point (x, y).
(x, y)=(-3,0)
(c) estimate the value of x that results in y = 4.
x = 3
(d) estimate the value of y when x = 1.
y = 3

Explanation:

Step1: Locate x = 1 on graph

Find x - value of 1 on x - axis.

Step2: Determine corresponding y - value

Move vertically from x = 1 until intersecting line. Read y - value.

Answer:

$y = \frac{8}{3}$ (by observing the graph, when $x = 1$, the line passes through a point such that the $y$ - value is $\frac{8}{3}$ as the line has a slope of $\frac{2}{3}$ and $y$ - intercept of 2. Using the slope - intercept form $y=mx + b$ where $m=\frac{2}{3}$ and $b = 2$, when $x = 1$, $y=\frac{2}{3}\times1+2=\frac{2 + 6}{3}=\frac{8}{3}$)