Question

Which equation produces a line that is perpendicular to the line represented by the function below
Y=2/5x+9

A)5x+2y=4
B) 2x-5y=8
C) 5x-2y=-3
D) 2x+5y=-7

Answer 1

So, this one wants to be tricky. They give you slope intercept and you have to find it in standard.

I will start out answering by asking you, Do you know the difference between slope intercept and standard?

Answer 2

@ItsStephanie ?

Answer 3

Yes

Answer 4

How do you convert a standard problem to slope intercept?

Answer 5

Well I know what they both look like but not how to convert

Answer 6

So if I tell you the slope of the perpendicular is going to be \(-\frac{ 5 }{ 2 }\) what would be your choice?

Answer 7

Between the two?

Answer 8

the first one

Answer 9

Slope-intercept form

Answer 10

@SnuggieLad im completely lost actually

Answer 11

The given equation is y = (2/5) x +9
Hence the perpendicular line will have the slope is \(-\dfrac{5}{2}\)
Then, the required line will have the equation : \(y = -\dfrac{5}{2}x +b\)
\(2y = -5x+2b\\2y+5x =2b\)
That means the right hand side must be an even number.
You have 2 options whose the left hand side are the same \(2y+5x\)
But only one whose the right side is an even number.
That is ....... ????