Answer:
C. y + 3 = ¼(x + 4)
Step-by-step explanation:
✔️First, find the slope of the given line on the graph that it is perpendicular to:
Slope (m) = ∆y/∆x = -4/1 = -4
Thus, the slope of the line that is perpendicular to the given line would be the negative reciprocal of -4.
The negative reciprocal of -4 = ¼
✔️Find the equation in point-slope form, y - b = m(x - a) using slope and a point on the line:
Substitute m = ¼, (a, b) = (-4, -3) into y - b = m(x - a):
y - (-3) = ¼(x - (-4))
y + 3 = ¼(x + 4)
