Respuesta :

BenjaminG123
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






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