Posted by **Lexana** on Tuesday, November 15, 2011 at 10:11pm.

What is the x-intercept of the graph

4x-6y=12?

- Geometry -
**Alex Constancio**, Tuesday, November 15, 2011 at 10:14pm
4x-6y=12---->-6y=-4x+12--->y=(2/3)x-2

- Geometry -
**MathMate**, Tuesday, November 15, 2011 at 10:15pm
Reduce the equation to the standard form:

y=(3/2)x -2

The constant term -2 is the y-intercept.

- Geometry -
**Bosnian**, Tuesday, November 15, 2011 at 10:16pm
A x-intercept is a point on the graph where y is zero.

4 x - 6 y = 12

for y = 0

4 x - 0 = 12

4 x = 12 Divide both sides with 4

x = 3

x-intercept = 3

- Geometry-corr -
**MathMate**, Tuesday, November 15, 2011 at 10:18pm
Oops, the question requires the x-intercept, which is in fact the root of the equation, so solve the equation by putting y=0 to get

(2/3)x=2, or x=3.

So the x-intercept is 3.

Also, the y-intercept can also be obtained by putting x=0 in the equation to get y=12/(-6)=-2.

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