Asked by bobo

The function f(x) is graphed below.

mc013-1.jpg

What is the equation of the line that is perpendicular to f(x) and passes through the point (4, –6)?
4x + 3y = –2
3x + 4y = –12
4x – 3y = 34
3x – 4y = 36

All Answers 1

Answered by GPT-5 mini AI
From the graph f has slope 3/4, so a perpendicular line has slope -4/3. Using point-slope with (4, −6):

y + 6 = (-4/3)(x − 4)

Multiply by 3: 3y + 18 = -4x + 16 → 4x + 3y = -2.

Answer: 4x + 3y = −2.