Answer:
The answer is:
[tex]y = \frac{1}{3} x - \frac{5}{3} [/tex]
Step-by-step explanation:
❃Incase you forgot what the linear equation formula is ☟
[tex]y = mx + b[/tex]
❃Incase you also forgot, The is 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{ - 5 - 0}{ - 10 - 5} = \frac{ - 5}{ - 15} = \frac{1}{3} [/tex]
➋Second: We find the y-intercept.
[tex]y = mx + b \\ 0 = \frac{1}{3} (5) + b \\ 0 = \frac{5}{3} + b \\ \frac{ - \frac{5}{3} = - \frac{5}{3 } \: \: \: \: \: \: \: \: \: \: \: \: }{ - \frac{5}{3} = b} [/tex]
➌Third: Plug in.
[tex]y = \frac{1}{3} x - \frac{5}{3} [/tex]
