Question

Identify the correct x-intercept and y-intercept of the graph of the equation 15x - 5y = 30.

intercept = (-2, 0); y-intercept = (0, 6)

intercept = (0, -6); y-intercept = (2, 0)

x-intercept = (2, 0); y-intercept = (0, -6)

intercept = (0, 6); y-intercept = (-2, 0)

Answer 1

x-intercept is when the graph hits the x-axis therefore y=0
set y=0 in the equation and solve for x
\[15x-5(0)=30\]\[x=2\]y-interept is when x=0 repeat the process

Answer 2

What you have is standard form...put it into slope intercept form

15x - 5y = 30.
-5y = 30 - 15x

y = -6 + 3x

y = 3x - 6

now plug 0 in for y...and then x to find both intersects