Answer:
The answer to the question provided is y = -3x - 12.
Step-by-step explanation:
❃Incase you forgot what the linear equation formula is ☟
[tex]y = mx + b[/tex]
❃Incase you also forgot, what the slope formula is ☟
[tex]m = \frac{y_2 - y_1 }{x_2 - x_1}[/tex]
➊ First: We are going to be solving for the slope.
[tex]m = \frac{ - 9 - 6}{ - 1 - ( - 6)} = \frac{ - 15}{ \: \: \: 5} = - 3[/tex]
➋Second: We find the y-intercept.
[tex]y = mx + b \\ 6 = - 3( - 6) + b \\ 6 = 18 + b \\ \frac{ - 18 = - 18 \: \: \: \: \: \: \: \: \: \: \: \: }{ - 12 = b}[/tex]
➌Third: Plug in.
[tex]y = - 3x - 12[/tex]
