Question

Question 3: What is the x-intercept of the line 3x+4y=12?

Question 3 options:

(4, 0)

(3, 0)

(0, 4)

(0, 3)

Answer 1

Answer: First option.

Explanation:

It is important to remember that the line intersects the x-axis when
`y=0`.

So, given the line
`3x+4y=12`, you need to substitute
`y=0` into the equation and solve for "x", in order to find the x-intercept of this line.

Therefore, this is:

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

Therefore, this line intersects the x-axis at this point:

`(4,0)`