Question

Given that the points (12, –4) and (–36, 8) lie on a line, what is the equation of the line?

Answer 1

The equation of the line passing through the points (12, –4) and (–36, 8) is y = -1/2 x  - 1

The formula for calculating the equation of a line is expressed as:

y = mx + b

m is the slope of the line

b is the y-intercept

Given the coordinate points expressed as (12, –4) and (–36, 8)

Get the slope:

m = 8+4/-36-12

m = 12/-48

m = -1/4

Get the y-intercept "b"

Recall that y = mx + b

8 = -1/4(-36) + b

8 = 9 + b

b = 8 - 9

b = -1

Get the required equation.

Recall that y = mx + b

y = -1/2 x + (-1)

y = -1/2 x - 1

Hence the equation of the line passing through the points (12, –4) and (–36, 8) is y = -1/2 x  - 1

Learn more here: brainly.com/question/17003809