Question

Look at image worth 20 pointd help!!

Answer 1

`y=-(9)/(7)x-2`

Explanation:

Here, we have to convert the equation to slope-intercept form so we can find the perpendicular slope:

`7x-9y=-5`

`-9y=-5-7x`

`y=-(5)/(9)+(7)/(9)x`

`y=(7)/(9)x-(5)/(9)`

Since our slope is
`m=(7)/(9)`, then that means the slope perpendicular to it is
`m=-(9)/(7)`.

Now we find our new y-intercept so that the line will pass through the point (-7,7):

`y=mx+b`

`y=-(9)/(7)+b`

`7=-(9)/(7)(-7)+b`

`7=9+b`

`-2=b`

Therefore, the equation of the new line is
`y=-(9)/(7)x-2`