Answer:
x-intercept is -1, y-intercept is 3/2.
Step-by-step explanation:
-6x+4y=6
4y=6-(-6x)
4y=6+6x
4y=6x+6
y=6/4x+6/4
y=3/2x+3/2
y=mx+b where m=3/2 which means that the slope of this equation is 3/2.
To find the y-intercept, find b. In this case, b=3/2. So 3/2 is the y-intercept.
To find the x-intercept, plug in y=0 into the equation and find out x.
0=3/2x+3/2
3/2x+3/2=0
3/2x=0-3/2
3/2x=-3/2
x=(-3/2)/(3/2)
x=-1
So the x-intercept is -1.
