Question

PLEASE HELP I WILL GIVE BRIANLIEST 15 POINTS!!! What is the equation in slope-intercept form of the line that crosses the x-axis at 36 and is perpendicular to the line represented by y = -4/9x+5
Answer
A y = 4/9x+16
B y = 4/9x-16
C y= 9/4x+81
D y = 9/4x-81

Answer 1

Answer:

Choice D

Step-by-step explanation:

First we should find the slope of the equation, so since it's perpendicular to the other equation that means it's the opposite and the reciprocal of that slope. So the slope is $\frac{9}{4}$.

Now we have to find the y-intercept. We already know the x-intercept, so we could use that to find the y-intercept. For that we need to know the slope and one ordered pair, which is (36,0). Then we plug into this formula  $y=mx+b$.

$y=mx+b\\0=\frac{9}{4}(36)+b\\0=81+b\\b=-81$

So now that we found the y-intercept we just have to put it all together....

$y=\frac{9}{4}x-81$