Answer:
y = [tex] \frac{3}{8} x + \frac{5}{2} [/tex]
Step-by-step explanation:
☆Remember: [tex]m = \frac{y_2 - y_1}{x_2 - x_1} [/tex]
☆Remember: Slope-intercept form -> y = mx + b
☆Now. We first need to find the slope.
[tex]m = \frac{4 - 1}{4 - (- 4)} = \frac{3}{8} [/tex]
☆Now the y-intercept.
[tex]y = mx + b \\ \\ 4 = \frac{3}{8} (4) + b \\ \\ 4 = \frac{3}{2} + b \\ \frac{ - \frac{ 3}{ 2} = - \frac{ 3}{ 2} \: \: \: \: \: \: \: \: \: \: }{ \frac{5}{2} = b } [/tex]
