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8 votes
Identify the intercepts of the following equation. Enter your answer as an ordered pair.

2x + 3y = 6
X-intercept =
y-intercept=

User Joe Sager
by
3.9k points

2 Answers

7 votes

Answer:

The x-intercept is (3,0); The y-intercept is (0,2)

Explanation:

When we find the x-intercept, y is always 0 (the point lies on the x-axis)

So simply substitute 0 for y and solve for x to find the x-coordinate;

2x+3(0)=6

=>2x=6

=>x=3

The x-intercept is (3,0)

When we find the y-intercept, x is always 0 (the point lies on the y-axis)

So simply substitute 0 for x and solve for y to find the y-coordinate;

2(0)+3y=6

=>3y=6

=>y=2

The y-intercept is (0,2)

User Haouarin
by
3.2k points
4 votes
X=3
Y=0
This is the most accurate answer to me
User SirNod
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2.9k points