Answer:
y= -3/4x - 4
Explanation:
To write an equation that is perpendicular to a given line, take the negative reciprocal of the given slope. the given slope is 4/3, so the negative reciprocal is -3/4.
Using slope-intercept form of a linear equation, y=mx+b substitute in -3/4 for "m" the slope.
y=-3/4x+b
Now you need to "b" the y-intercept using the given point (-4,-1). Substitute the values in the equation. -1=-3/4(-4)+b simplify
-1= 3 + b subtract 3 for both sides
-4=b
substitue -4 for b. Now you have y= -3/4x - 4 this is your answer.