Question

(b) what is the solution?

Explanation:

Step1: Identify points

Point B is at (0, 2), point A is at (4, -2).

Step2: Find slope

Slope \( m = \frac{y_2 - y_1}{x_2 - x_1} = \frac{-2 - 2}{4 - 0} = \frac{-4}{4} = -1 \).

Step3: Equation of line

Using point - slope form \( y - y_1 = m(x - x_1) \) with point B (0, 2): \( y - 2 = -1(x - 0) \), so \( y = -x + 2 \).

Step4: Solution (intersection with x - axis)

Set \( y = 0 \): \( 0 = -x + 2 \), so \( x = 2 \). The solution (x - intercept) is at (2, 0).

Answer:

The solution (x - intercept) is \((2, 0)\)