Question

What is the equation of the line in point-slope form?

Answer 1

Answer:

$y +500 = -\frac{1}{5}(x - 100)$

Step-by-step explanation:

Given

The attached graph

Required

Determine the equation in point slope form

From the graph, we have the following points;

$(x_1,y_1) = (-400,-400)$

$(x_2,y_2) = (100,-500)$

First, we calculate the slope (m):

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

$m = \frac{-500 - (-400)}{100- (-400)}$

$m = \frac{-500 +400}{100+400}$

$m = \frac{-100}{500}$

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

The equation is then calculated using:

$y - y_2 = m(x - x_2)$

Substitute x and y values

$y - (-500) = -\frac{1}{5}(x - (100))$

$y +500 = -\frac{1}{5}(x - 100)$