Question

Write in point slope form an equation of the line that passes through the given point and has the slope. (-2, 9) and m = 5

Answer 1

The point-slope form of an equation of the line is:

`y-9 = 5(x+2)`

Explanation:

Given

Slope m = 5

Point (-2, 9)

Point slope form of an equation of a line:

Point slope form of an equation of a line is defined as

`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,

• m = 5

• (x₁, y₁) = (-2, 9)

substituting the values m = 5 and the point (x₁, y₁) = (-2, 9) in the point-slope form of the line equation

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

`y - 9 = 5 (x - (-2)`

`y-9 = 5(x+2)`

Therefore, the point-slope form of an equation of the line is:

`y-9 = 5(x+2)`