Greetings!
To find the y-intercept, we can arrange the equation in slope y-intercept form:
[tex]y=mx+b[/tex]
Rearrange:
[tex]y+1=3(x-4)[/tex]
[tex]y+1=3x-12[/tex]
[tex]y=3x-13[/tex]
The y-intercept is: -13
[tex]\boxed{(0,-13)}[/tex]
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:
[tex](0)=3x-13[/tex]
Solve for x:
[tex]0=3x-13[/tex]
[tex]13=3x[/tex]
[tex] \frac{13}{3}= \frac{3x}{3} [/tex]
[tex]x=\frac{13}{3}[/tex]
The x-intercept is: [tex]\frac{13}{3}[/tex]
[tex]\boxed{(\frac{13}{3},0)}[/tex]
I hope this helped!
-Benjamin
