Write an equation of a line with the given slope, m = -5 and y-intercept, b = -3

Solution:

Given slope m = -5, y-intercept b = -3

We have a standard equation of slope and intercept form; that is y = mx + b

Put the given values in the standard equation

⇒ y = -5x + (-3)

⇒ y = -5x - 3

⇒ 5x + y + 3 = 0

The equation of the line is 5x + y + 3 = 0.

Write an equation of a line with the given slope, m = -5 and y-intercept, b = -3

Summary:

An equation of a line with the given slope, m = -5 and y-intercept, b = -3 is given as 5x + y + 3 = 0.