What is the equation of a line that passes through (7, 8) and has a slope of -3?

Solution:

The equation of a line that passes through a point (x₁,y₁) and a slope m is given by

(y - y₁) = m (x - x₁)

Given,

Slope of the line, m = -3

Point (x₁, y₁) = (7, 8)

Now, the equation of the line is

y - 8 = (-3)(x - 7)

y - 8 = -3x + 21

y = -3x + 21 + 8

y = -3x + 29

Therefore, the equation of the line is y = -3x + 29.

What is the equation of a line that passes through (7, 8) and has a slope of -3?

Summary:

The equation of a line that passes through (7, 8) and has a slope of -3 is y = -3x + 29