Answer:
The answer to your question is y = -1/13x + 21/13
Step-by-step explanation:
Data
⊥ to y = -13x + 2
Point = (-5, 2)
Process
1.- Find the slope of the original line
The slope is the coefficient of the x in the equation line
y = -13x + 2
For this equation -13 is the slope
2.- Find the slope of the new line
As the lines are ⊥, the slope are reciprocal
new slope = -1/13
3.- Find the equation of the line
y - y1 = m(x - x1)
-Substitution
y - 2 = -1/13(x + 5)
-Simplification
y - 2 = -1/13x - 5/13
y = -1/13x - 5/13 + 2
y = -1/13s + (26/13 - 5/13)
-Result
y = -1/13x + 21/13
