Question

What is my x and y intercept for y-2=3(x+5)

Answer 1

y intercept=
`(-(17)/(3),0)`

x intercept=
`(0,17)`

Explanation:

We have the following Line equation:

`y-2=3(x+5)`

x intercpet:

If we want to find the x intercept (the point where the line crosses with the x-axis), we have to set
`y=0`:

`0-2=3(x+5)`

Isolating
`x`:

`-2=3x+15`

`x=-(17)/(3)`

Hence, the x-intercept point is
`(-(17)/(3),0)`

y intercept:

If we want to find the y intercept (the point where the line crosses with the y-axis), we have to set
`x=0`:

`y-2=3(0+5)`

Isolating
`y`:

`y=17`

Hence, the x-intercept point is
`(0,17)`