Answer:
(-8,0) , (0,4) and our answer is D which is not given in the choices i even attached the graph so you can double check.
Step-by-step explanation:
Arrange the equation into the standard form [tex]y=mx+c[/tex]
so,
[tex]3x-6y=-24\\3x+24=6y\\y=\frac{3x+24}{6} \\\\y=\frac{3x}{6} +\frac{24}{6} \\\\y=\frac{x}{2}+4[/tex]
[tex]y=mx+c[/tex]
if we compare we get c=4 where c is the y-intercept now for the x-intercept which means the coordinate should be (x,0) because x-intercept means the function cuts/intersects the x-axis at (x,0) so we put the coordinate and the value of m(slope) and c(y-intercept) in our equation.
[tex]y=\frac{x}{2}+4\\\\ put (x,0) in the function\\\\0=\frac{x}{2} +4\\\frac{x}{2}=-4 \\x=-8[/tex]
so finally our x-intercept is (-8,0) and y-intercept is (0,4)
