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Find the x-intercept and y-intercept of the line. 2x-6y=6

what's the
x-intercept:
y-intercept:

User Lisseth
by
8.3k points

2 Answers

7 votes

Answer:

x-intercept: (3,0)

y-intercept: (0,−1)

User Samuel Knoch
by
8.8k points
3 votes

Answer:

Y Intercept: (0,-1)

X Intercept: (3,0)

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)

User Mugunth
by
7.9k points

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