Question

4x - 5y = 15
find the slope and y-intercept

Answer 1

slope=4/5

y-intercept = -3

Explanation:

first we need to rewrite the expression to

`y=mx+b`

were b is the y-intercept and m the slope

`4x-5y=15\\\\4x-5y+5y=15+5y\\\\4x+0=15+5y\\\\4x=5(3)+5(y)\\\\4x=5(3+y)\\\\(1)/(5)*4x= (1)/(5)*5(3+y) \\\\(4x)/(5)=3+y\\\\(4x)/(5) -3=3+y-3\\\\(4x)/(5) -3=y+0\\\\y=(4x)/(5) -3\\\\y=(4)/(5)x-3`

so there we have it

`m=(4)/(5) \\\\b=-3`