Question

What is the equation of the line that passes through the point (1,3) and has a slope
of -- 32

Answer 1

The equation of the line that passes through the point (1,3) and has a slope of -32.

`y=-32x+35`

Please check the attached graph too.

Explanation:

Given

• Point (1, 3)

• The slope m = -32

The point-slope form:

`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 = -32

(x₁, y₁) = (1, 3)

substituting m = -32 and (x₁, y₁) = (1, 3) in the point-slope form of the line equation

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

`y-3=-32\left(x-1\right)`

Add 3 to both sides

`y-3+3=-32\left(x-1\right)+3`

Simplify

`y=-32x+35`

Therefore, the equation of the line that passes through the point (1,3) and has a slope of -32.

`y=-32x+35`

Please check the attached graph too.