What is the x-intercept of the graph

4x-6y=12?

4 answers

4x-6y=12---->-6y=-4x+12--->y=(2/3)x-2
Reduce the equation to the standard form:
y=(3/2)x -2
The constant term -2 is the y-intercept.
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
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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