What is the x-intercept of the graph
4x-6y=12?
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.
To find the x-intercept of the graph 4x - 6y = 12, we need to determine the value of x when the y-coordinate is 0.
First, let's set y equal to 0 in the equation:
4x - 6(0) = 12
Simplifying the equation, we have:
4x - 0 = 12
4x = 12
To solve for x, divide both sides of the equation by 4:
x = 12/4
x = 3
Therefore, the x-intercept of the graph is x = 3.