Question

Find the x and y intercepts for the equation-3/4x+5/6y=15

Answer 1

x-intercept for y =0.

y-intercept for x = 0.

Substitute:

`-(3)/(4)x+(5)/(6)y=15\\\\x-intercept:-(3)/(4)x+(5)/(6)(0)=15\\\\-(3)/(4)x=15\qquad|\cdot(-4)\\\\3x=-60\qquad|:3\\\\\boxed{x=-20}\\\\y-intercept:-(3)/(4)(0)+(5)/(6)y=15\\\\(5)/(6)y=15\qquad|\cdot6\\\\5y=90\qquad|:5\\\\\boxed{y=18}`