Answer:
Slope =3; y-intercept = (0, 2)
Step-by-step explanation:
y = -⅓x + 5
1. Calculate the slope of the perpendicular line
m₂ = -1/m₁
[tex]m_{2} =-\dfrac{1}{-\frac{1}{3}} = \mathbf{3}[/tex]
2. Calculate its y-intercept
y = mx + b
-7 = 3(-3) + b
-7 = -9 + b
Add 9 to each side:
b = 2
The y-intercept is at (0, 2).
The diagram shows the graph of your original line in red. The perpendicular line in black passes through (-3, -7) with a y-intercept at (0, 2).
