Question

37 multiple choice 1 point find the x-intercept for the graph: 4x - 3y = -12 a. (4, -3) b. (-3, 0) c. (0, -3) d. (-3, 4) c a b d

Explanation:

Step1: Recall x-intercept definition

The x - intercept of a graph is the point where \(y = 0\) (since the graph crosses the x - axis, and on the x - axis, the y - coordinate is 0).

Step2: Substitute \(y = 0\) into the equation

We are given the equation \(4x-3y=- 12\). Substitute \(y = 0\) into this equation:

$$
LATEXBLOCK0
$$

Step3: Solve for x

To solve for \(x\), divide both sides of the equation \(4x=-12\) by 4:

$$ x=\frac{-12}{4}=-3 $$

So the x - intercept is the point \((-3,0)\) because when \(y = 0\), \(x=-3\).

Answer:

B. \((-3,0)\)