Question

Help! I’m not sure what this is

Answer 1

Equation of line passing through points is:
`y=(7)/(2)x-6`

Explanation:

Given points are;

(-4, -20) and (12, 36)

First we will find slope of the equation,

m =
`(y_2-y_1)/(x_2-x_1)`

`m = (36-(-20))/(12-(-4))\\\\m = (36+20)/(12+4)\\\\m = (56)/(16)\\\\m = (7)/(2)`

Equation of a line is given by;

y = mx + b

Putting (-4, -20) in this equation to find b.

`-20=(7)/(2)*-4+b\\-20 = -14 + b \\-20+14 = b \\b = -6`

The equation is;

`y = (7)/(2)x - 6`

Hence,

Equation of line passing through points is:
`y=(7)/(2)x-6`