Question

Based on the graph of the line below, which describes the relationship between the value of the y-intercept and the

Answer 1

Answer:

y intercept = 3

$m = \frac{1}{3}$ --- slope

Step-by-step explanation:

Given

The attached graph

Required

Determine the slope and the y intercept

The $y\ intercept$ is at the point where $x = 0$.

From the graph:

$y = 3;\ when\ x = 0$

Hence,

y intercept = 3

Next, we calculate the slope using:

$m = \frac{y_1 - y_2}{x_1 - x_2}$

Where:

$(x_1,y_1) = (0,3)$

$(x_2,y_2) = (9,6)$

So, we have:

$m = \frac{3 - 6}{0 - 9}$

$m = \frac{-3}{- 9}$

$m = \frac{3}{9}$

$m = \frac{1}{3}$