Question

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

Answer 1

Answer:

y intercept=$(-\frac{17}{3},0)$

x intercept=$(0,17)$

Step-by-step 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 $x$:

$-2=3x+15$

$x=-\frac{17}{3}$

Hence, the x-intercept point is $(-\frac{17}{3},0)$

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 $(0,17)$