Question

write an equation in point slope form for the line through the given point with the given slope (-4, -3); m=8

Answer 1

An equation in point-slope form for the line will be:

`y - (-3) = 8 (x - (-4))`

Please check the attached line graph also.

Explanation:

Given

The point (-4, -3)

The slope m = 8

To determine

Write an equation in point slope form for the line.

Using the point-slope form of the line equation

`y-y_1=m\left(x-x_1\right)`

where

• m is the slope of the line

• (x₁, y₁) is the point

In our case,

• (x₁, y₁) = (-4, -3)

• The slope m = 8

substituting the values m = 8 and the point (-4, -3)

`y-y_1=m\left(x-x_1\right)`

`y - (-3) = 8 (x - (-4))`

Therefore, an equation in point-slope form for the line will be:

`y - (-3) = 8 (x - (-4))`

Please check the attached line graph also.