Answer:
Y Intercept: (0,-1)
X Intercept: (3,0)
Step-by-step explanation:
Let's rearrange the original equation to be in y intercept form
2x-6y=6
-6y=-2x+6 (isolate y on the left side by subtracting both sides by -2)
6y=2x-6 (we can divide both sides by -1 to eliminate the negative signs)
y=2/6x-1
the y intercept is when x = 0, so we can insert that into the new equation we have
y=2/6(0)-1
y=-1
we can also use the new formiula to find the x intercept, the x intercept is when y = 0
y=2/6x-1
0=2/6x-1
-2/6x=-1 (isolate x by subtracting both sides by 2/6x)
2/6x=1 (divide both sides by -1 again to get rid of the negative signs)
2x=6 (multiply both sides to get rid of the 6 in the denominator)
x=3 (divide both sides by 2 to isolate x)
