Answer:
y = \frac{4}{5}x + \frac{32}{5}
Step-by-step explanation:
(x₁ , y₁) = (-3, 4) & (x₂ , y₂) = (2 , 8)
Slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\[/tex]
[tex]= \frac{8-4}{2-[-3]}\\\\= \frac{8-4}{2+3}\\\\= \frac{4}{5}[/tex]
m = 4/5 ;
Equation of the line: y - y₁ = m(x - x₁)
[tex]y - 4 = \frac{4}{5}(x - [-3])\\\\y - 4 = \frac{4}{5}(x +3)\\\\y - 4 = \frac{4}{5}x + \frac{4}{5}*3\\\\ y = \frac{4}{5}x + \frac{12}{5}+4\\\\ y = \frac{4}{5}x + \frac{12}{5} + \frac{4*5}{1*5}\\\\ y =\frac{4}{5}x + \frac{12}{5} +\frac{20}{5}\\\\ y = \frac{4}{5}x + \frac{32}{5}[/tex]
