List a the coordinates of any yintercept b the coordinates

List (a) the coordinates of any y-intercept & (b) the coordinates of any x-intercept. Do not graph. -5x+6y=100

Solution

-5x+6y=100

a) to find y intercepts , we plug x=0

-5(0) +6y=100

0+6y=100

y=100/6

So coordinates are (0, 100/6)

b)

-5x+6y=100

to find the x-intercept we plug y=0

-5x +6(0) =100

-5x =100

x=-100/5

x=-20

So coordinates are (-20,0)