Question

Can someone help me Determine the intercepts of the line.

Answer 1

Greetings!

To find the y-intercept, we can arrange the equation in slope y-intercept form:

`y=mx+b`

Rearrange:

`y+1=3(x-4)`


`y+1=3x-12`


`y=3x-13`

The y-intercept is: -13

`\boxed{(0,-13)}`

To find the x-intercept, we can input the value <<0>> in the place of y, as every x-intercept only occurs when y=0:

`(0)=3x-13`

Solve for x:

`0=3x-13`


`13=3x`


`(13)/(3)= (3x)/(3)`


`x=(13)/(3)`

The x-intercept is:
`(13)/(3)`

`\boxed{((13)/(3),0)}`

I hope this helped!
-Benjamin