Question

What is
the equation of the line that passes through the points (-6,6) and (-1,-9)

Answer 1

The answer to the question provided is y = -3x - 12.

Explanation:

❃Incase you forgot what the linear equation formula is ☟

`y = mx + b`

❃Incase you also forgot, what the slope formula is ☟

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

➊ First: We are going to be solving for the slope.

`m = ( - 9 - 6)/( - 1 - ( - 6)) = ( - 15)/( \: \: \: 5) = - 3`

➋Second: We find the y-intercept.

`y = mx + b \\ 6 = - 3( - 6) + b \\ 6 = 18 + b \\ ( - 18 = - 18 \: \: \: \: \: \: \: \: \: \: \: \: )/( - 12 = b)`

➌Third: Plug in.

`y = - 3x - 12`