Answer:
slope = 5/2
[tex]y = \frac{5}{2}x + 5[/tex]
Step-by-step explanation:
(x₁ ,y₁) = (-4 , -5) & (x₂, y₂) = (2 , 10)
[tex]Slope=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\\\\\\=\frac{10-[-5]}{2-[-4]}\\\\=\frac{10+5}{2+4}\\\\=\frac{15}{6}\\\\=\frac{5}{2}\\\\= 2.5[/tex]
m = 5/2 ; (-4 , -5)
Equation: y - y1 = m(x -x1)
[tex]y - [-5] = \frac{5}{2}*(x - [-4])\\\\y + 5 = \frac{5}{2}(x + 4)\\\\y + 5 =\frac{5}{2}x + \frac{5}{2}*4\\\\y + 5 = \frac{5}{2}x + 5*2\\\\y + 5 = \frac{5}{2}x + 10\\\\ y = \frac{5}{2}x + 10 - 5\\\\ y = \frac{5}{2}x + 5[/tex]
