Question

what is the x-intercept of the line with the equation y = 3x - 6?
a. 2 c. -6
b. -2 d. 3
please select the best answer from the choices provided
a
b
c
d

Explanation:

Step1: Recall x - intercept definition

The x - intercept of a line is the point where the line crosses the x - axis. At this point, the value of \(y = 0\).

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

We are given the equation of the line \(y=3x - 6\). Substitute \(y = 0\) into the equation:

$$0=3x - 6$$

Step3: Solve for \(x\)

Add 6 to both sides of the equation:

$$3x=6$$

Then divide both sides by 3:

$$x = \frac{6}{3}=2$$

Answer:

A. 2