Answer :

The equation of the line is y = -3x + 2.

What is the slope of a line?

A line's slope in mathematics is defined as the ratio of the change in the y coordinate to the change in the x coordinate.

Both the net change in the y-coordinate and the net change in the x-coordinate are represented by Δy and Δx, respectively.

As a result, m = change in y/change in x = Δy/Δx is the formula for the change in y-coordinate with respect to the change in x-coordinate.

where "m" represents a line's slope.

Given that, the line passes through the point (-1,5) with slope of -3.

The equation of line passes through (x₁, y₁) with slope m is

y -  y₁ = m(x - x₁)

Putting x₁ = -1, y₁ = 5 and m = -3.

y - 5 = -3(x - (-1))

y - 5 = -3x - 3

y = -3x  + 2

To learn more about equation of line, click on below link:

https://brainly.com/question/29555862

#SPJ4