x-intercept for y =0.
y-intercept for x = 0.
Substitute:
[tex]-\dfrac{3}{4}x+\dfrac{5}{6}y=15\\\\x-intercept:-\dfrac{3}{4}x+\dfrac{5}{6}(0)=15\\\\-\dfrac{3}{4}x=15\qquad|\cdot(-4)\\\\3x=-60\qquad|:3\\\\\boxed{x=-20}\\\\y-intercept:-\dfrac{3}{4}(0)+\dfrac{5}{6}y=15\\\\\dfrac{5}{6}y=15\qquad|\cdot6\\\\5y=90\qquad|:5\\\\\boxed{y=18}[/tex]
