Answer:
[tex]y +500 = -\frac{1}{5}(x - 100)[/tex]
Step-by-step explanation:
Given
The attached graph
Required
Determine the equation in point slope form
From the graph, we have the following points;
[tex](x_1,y_1) = (-400,-400)[/tex]
[tex](x_2,y_2) = (100,-500)[/tex]
First, we calculate the slope (m):
[tex]m = \frac{y_2 - y_1}{x_2 - x_1}[/tex]
[tex]m = \frac{-500 - (-400)}{100- (-400)}[/tex]
[tex]m = \frac{-500 +400}{100+400}[/tex]
[tex]m = \frac{-100}{500}[/tex]
[tex]m = -\frac{1}{5}[/tex]
The equation is then calculated using:
[tex]y - y_2 = m(x - x_2)[/tex]
Substitute x and y values
[tex]y - (-500) = -\frac{1}{5}(x - (100))[/tex]
[tex]y +500 = -\frac{1}{5}(x - 100)[/tex]
