Question

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

Answer 1

`y +500 = -(1)/(5)(x - 100)`

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 = (y_2 - y_1)/(x_2 - x_1)`

`m = (-500 - (-400))/(100- (-400))`

`m = (-500 +400)/(100+400)`

`m = (-100)/(500)`

`m = -(1)/(5)`

The equation is then calculated using:

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

Substitute x and y values

`y - (-500) = -(1)/(5)(x - (100))`

`y +500 = -(1)/(5)(x - 100)`