Question

What is the x-intercept of the line with the equation 4x + 2y = 12?

A. (0, 6)
B. (6, 0)
C. (0, 3)
D. (3, 0)

Answer 1

Option (d) is correct.

The x- intercept of the line with the given equation of 4x + 2y = 12 is (3,0)

Explanation:

Given : Equation of line 4x + 2y = 12

We have to find the x- intercept of the line with the given equation of 4x + 2y = 12 and choose the correct option from the given equations.

Consider the given equation 4x + 2y = 12

x intercept is defined as a point where the line cuts y axis that is where point y is 0.

Put y = 0 , we have,

4x + 2(0) = 12

4x = 12

Divide both side by 4, we get,

x = 3

Thus, the x intercept of the line with the given equation of 4x + 2y = 12 is (3,0)

Answer 2

x intercept is where the line crosses the x axis or where y=0
set y=0

4x+2(0)=12
4x+0=12
4x=12
divide by 4
x=3

(x,y)
(3,0)

D is answer