Answer:
Slope = [tex]\frac{-4}{3}[/tex]
4x + 3y = 23
Step-by-step explanation:
slope = [tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{-3-5}{8-2} =\frac{-8}{6} =\frac{-4}{3}[/tex]
The equation:
[tex]\frac{y-y_{1} }{x-x_{1} }=m[/tex] m is the slope
[tex]y-y_{1}=m(x-x_{1} )[/tex]
y - 5 = -4/3 (x - 2) Multiply both sides by 3
3y -15 = -4 (x - 2)
3y - 15 = -4x + 8
3y + 4x = 8 + 15
3y + 4x = 23
4x + 3y = 23
