Answer:
The answer is [tex]y = - \frac{1}{4} x + \frac{9}{4} [/tex]
Step-by-step explanation:
❃Incase you forgot what the slope-intercept 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]
☆ First: We are going to be solving for the slope.
[tex]m = \frac{2- 3}{1 - ( - 3)} = \frac{ - 1}{4} = - \frac{1}{4} [/tex]
☆Second: We are going to find the y-intercept.
[tex]y = mx + b \\ 3 = - \frac{1}{4} ( - 3) + b \\ 3 = \frac{3}{4} + b \\ \frac{ - \frac{3}{4} = - \frac{3}{4} \: \: \: \: \: \: \: \: \: \: \: }{ \frac{ 9}{4} = b \: \: \: \: \: \: \: \: } [/tex]
☆Third: Plug in.
[tex]y = - \frac{1}{4} x + \frac{9}{4} [/tex]
