Question

How do you find the intercepts for `5y=5x+15`?

Answer 1

y-intercept `= 3`
x-intercept `=-3`

Explanation:

The y-intercept of an equation is the value of `y` where the equation's line crosses the y-axis; that is it is the value of `y` when `x=0`
Substituting `x=0` in `5y=5x+15` gives
`color(white)("XXXX")` `5y = 5(0)+15`
`color(white)("XXXX")` `y = 3`

Similarly, the x-intercept of an equation is the value of `x` when `y=0`
Substituting `y=0` in `5y=5x+15` gives
`color(white)("XXXX")` `5(0) = 5x+15`
`color(white)("XXXX")` `5x = -15`
`color(white)("XXXX")` `x=-3`