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:
$0=3x-13$

$13=3x$

$\frac{13}{3}= \frac{3x}{3}$

$x=\frac{13}{3}$

The x-intercept is: $\frac{13}{3}$
$\boxed{(\frac{13}{3},0)}$

I hope this helped!
-Benjamin