Answer:
y = 3x + 16
Step-by-step explanation:
write the equation of the line through (-6 , -2) and (-7,-5)
The general form of the line is y = mx + c
Where m is the slope and c is the y-intercept
The slope m = (y₂ - y₁)/(x₂ - x₁) = (-5 - [-2])/(-7 - [-6]) = (-3)/(-1) = 3
∴ y = 3x + c
By substitution with the point (-7,-5) to find c
So, at x = -7 ⇒ y =-5
-5 = 3 * -7 + c
-5 = -21 + c
c = -5 + 21 = 16
∴ y = 3x + 16
See the attached figure which represents the graph of the line y = 3x + 16
