Question

which point is the x-intercept of the line represented by the equation 4x - y = -8?
options: (-2, 0), (-1, 0), (4, 0), (8, 0)

Explanation:

Step1: Recall x-intercept definition

The x - intercept of a line is the point where \(y = 0\) on the line. So we substitute \(y=0\) into the equation of the line.
The equation of the line is \(4x - y=-8\). Substitute \(y = 0\): \(4x-0=-8\), which simplifies to \(4x=-8\).

Step2: Solve for x

To solve for \(x\), divide both sides of the equation \(4x=-8\) by 4. So \(x=\frac{-8}{4}=- 2\).
So the x - intercept is the point \((-2,0)\) because when \(y = 0\), \(x=-2\).

Answer:

\((-2,0)\) (assuming the first option is \((-2,0)\) as per the given options layout)