Question

Which of the following equations describes the line shown below? Check all that apply. (-2,4) and (-4,-8)

Answer 1

Answer: Equation of line is y = 6x + 16

Explaination:

Given two coordinates (-2,4) and (-4,-8)

We named the points like
`image`

`image`

We will find the slope of the line

m =
`(y_(2)-y_(1))/(x_(2)-x_(1))`

m =
`(-8-4)/(-4+2)`

m =
`(-12)/(-2) = 6`

now use the point slope form of line :

y −
`y_(1)` = m(x −
`x_(1)`)

y - 4 = 6(x + 2)

y = 6x + 12 + 4

y = 6x + 16