Answer:
y = -2x + 1
Step-by-step explanation:
Formulae:
Slope: [tex]m=\frac{y_2-y_1}{x_2-x_1}\\[/tex]
- m = slope
- y₂ = second y-value
- y₁ = first y-value
- x₂ = second x-value
- x₁ = first x-value
Point-slope form: [tex]y-y_1=m(x-x_1)[/tex]
- y₁ = first y-value
- m = slope
- x₁ = first x-value
Slope-intercept form: [tex]y=mx+b[/tex]
- m = slope
- b = y-intercept value
Calculations:
[tex]m=\frac{-1-5}{1-(-2)}\\m=\frac{-6}{3}\\m=-2[/tex]
[tex]y-5=-2(x-(-2))\\y-5=-2(x+2)\\y-5=-2x-4\\y=-2x+1[/tex]
