Question

Write the equation of the line in fully simplified slope-intercept form.​

Answer 1

Answer:

$y = -\frac{1}{5}x -1$

Step-by-step explanation:

Given

The attached graph

Required

Determine the line equation

First, list out two points from the graph

$(x_1,y_1) = (-5,0)$

$(x_2,y_2) = (0,-1)$

Next, calculate the slope (m)

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

$m = \frac{-1-0}{0 -(-5)}$

$m = \frac{-1}{0 +5}$

$m = -\frac{1}{5}$

The equation in slope intercept form is:

$y = m(x - x_1) + y_1$

This gives:

$y = -\frac{1}{5}(x - (-5)) + 0$

$y = -\frac{1}{5}(x +5)$

Open bracket

$y = -\frac{1}{5}x -1$