Answer:
y = -1/3x - 5
Step-by-step explanation:
Perpendicular lines have negative reciprocal slopes, so the line is:
y = -1/3x + b
Finding the value of b, using the given point (-9, -2)
-2 = -1/3*(-9) + b
-2 = 3 + b
b = -2 - 3
b = -5
The line is
y = -1/3x - 5
Hopefully, this helps!
Answer:
y = -[tex]\frac{1}{3}[/tex]x - 5
Step-by-step explanation:
A perpendicular line will have a slope that is a negative reciprocal slopes to the slope of the original line, so far our equation looks like this:
y = -[tex]\frac{1}{3}[/tex]x + b
To find our b (y-axis intercept) we will plug in the point they gave us and solve
y = -[tex]\frac{1}{3}[/tex]x + b
(plug in) -2 = -[tex]\frac{1}{3}[/tex](-9) + b
(mutiply) -2 = 3 + b
(subtract three from both sides)
-5 = b
(flip) b = -5
(plug in) y = -[tex]\frac{1}{3}[/tex]x - 5
