Question

Determine the equation of the line passing through the point (0, -4), with a slope of m = 5

Answer 1

The equation of the line is:

y + 4 = 5(x - 0) [point-slope form]

y = 5x - 4 [slope-intercept form]

How to Find the Equation of a Line?

Using the point-slope form, the equation of a line that has a slope of m, and passes through a point (a, b), can be written as: y - b = m(x - a).

Given the following:

Slope (m) = 5

Point on the line (a, b) = (0, -4)

Substitute m = 5 and (a, b) = (0, -4) into y - b = m(x - a)

y - (-4) = 5(x - 0)

y + 4 = 5(x - 0)

Or rewrite in slope-intercept form as:

y + 4 = 5x

y = 5x - 4

Learn more about the equation of a line on:

brainly.com/question/13763238

#SPJ1