Question

Find the x-intercept of the line given by 4x + 3y = 12.

Answer 1

3

Explanation:

Hey there!

In order to find the x-intercept, we must first know what it is (if you do already, great!)

The x-intercept is where the line intersects the x-axis

It is also when the y-value is 0

So with this information, we know to find the x-intercept, we must plug in 0 for the "y" term

`4x + 3(0) = 12\\4x = 12\\x=(12)/(4)\\x=3`

This means that the x-intercept of this line is 3

Answer 2

x-intercept = 3

Explanation:

The x-intercept of a line is the point where the line crosses the x-axis. This means that at that point, the y-coordinate is 0.

Therefore, to find the x-intercept of a line given its equation, we have to replace y with 0 in the equation:

`4x + 3y = 12`

⇒
`4x + 3(0) = 12`

⇒
`4x = 12`

⇒
`(4)/(4)x = (12)/(4)` [Dividing both sides by 4]

⇒
`x = \bf 3`

Therefore, the coordinates of the x-intercept of the line are (3, 0).