Question

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

Answer 1

Answer:

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

Step-by-step explanation:

❃Incase you forgot what the linear equation formula is ☟

$y = mx + b$

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

$m = \frac{y_2 - y_1 }{x_2 - x_1}$

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

$m = \frac{ - 9 - 6}{ - 1 - ( - 6)} = \frac{ - 15}{ \: \: \: 5} = - 3$

➋Second: We find the y-intercept.

$y = mx + b \\ 6 = - 3( - 6) + b \\ 6 = 18 + b \\ \frac{ - 18 = - 18 \: \: \: \: \: \: \: \: \: \: \: \: }{ - 12 = b}$

➌Third: Plug in.

$y = - 3x - 12$