9514 1404 393
Answer:
y = -3/4x -1
Explanation:
The given equation is in the slope-intercept form, which lets you see that its slope is 4/3.
The slope of the perpendicular line will be the negative reciprocal of this:
-3/4
Then the slope-intercept form equation will be ...
y = -3/4x +b . . . . . . for some b
We can find the value of b that makes the line go through (4, -4) by using those values in this equation.
-4 = -3/4(4) +b
-4 +3 = b . . . . . . . . add 3
-1 = b
Then the equation you're looking for is ...
y = -3/4x -1