Question

1. what is the y-value when x = 7? type a response

Explanation:

Step1: Find the equation of the line

From the graph, the line passes through \((0, 4)\) (y - intercept) and \((2, 0)\) (x - intercept, we can assume the x - intercept is at \(x = 2\) as it crosses the x - axis between 0 and 5). The slope \(m=\frac{y_2 - y_1}{x_2 - x_1}=\frac{0 - 4}{2 - 0}=\frac{- 4}{2}=- 2\). Using the slope - intercept form \(y=mx + b\), where \(b = 4\) (y - intercept) and \(m=-2\), the equation of the line is \(y=-2x + 4\).

Step2: Substitute \(x = 7\) into the equation

Substitute \(x = 7\) into \(y=-2x + 4\). Then \(y=-2\times7+4=-14 + 4=-10\).

Answer:

\(-10\)