# Geometry

posted by Lexana

What is the x-intercept of the graph
4x-6y=12?

1. Alex Constancio

4x-6y=12---->-6y=-4x+12--->y=(2/3)x-2

2. MathMate

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

3. Bosnian

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

4. MathMate

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.

## Similar Questions

1. ### Slopes

Given y = 2x – 4, choose the statement that accurately describes this line. The slope is 2 and the y intercept is 4. The slope is 2 and the y intercept is -4. The slope is 4 and the y intercept is 2. The slope is -4 and they y intercept …
2. ### algebra

Graph the following equation: clculte the slope, x-intercept, and y-intercept, and label the the intercelts on the graph. problem: Find an equationin slope-intercept form passing through the points (2,5) and ( 7,-3).
3. ### algbra

Graph the following equations; calculate the slope, x-intercept, and y-intercept, and label the intercepts on the graph. Find an equation in slope-intercept form passing through the points (-6.2,18.1) and (-3.4,18.1).
4. ### College Algebra

1.The graph of y = - 1/2 |x - 5| - 3 can be obtained from the graph of y = |x| by which transformations?
5. ### Geometry

which of the following applies to the graph of y = -2x + 4?
6. ### algebra 1

If the graph of a line has a positive slope and a negative y-intercept, what happens to the x-intercept if the slope and y-intercept are doubled?
7. ### algebra 1

If the graph of a line has a positive slope and a negative y-intercept, what happens to the x-intercept if the slope and y-intercept are doubled?
8. ### Algebra

What are the intercepts of the equation? Graph the equation. -3x + 4y = -12 A. x-intercept: (4, 0) y-intercept: (0, –3) B. x-intercept: (–3, 0) y-intercept: (0, 4) C. x-intercept: (4, 0) y-intercept: (0, –3) D. x-intercept: (–3,
9. ### Algebra

1.Write the equation of a line that is perpendicular to the given line and that passes through the given point. y-3=8/3(x+2); (-2, 3) A.y+3=-3/8(x-2) B.y-3=-3/8(x+2) C.y-2=-3/8(x+3) D.y+3=3/8(x-2) 2.Describe how the graph of y=/x/ …
10. ### Math

myriam compared the y-intercept of the graph of the function f (x) = 3x + 5 to the y-intercept of the graph of hte linear function that includes the points in the table below. What is the difference when the y-intercept of f (x) is …

More Similar Questions