Question

this is the graph of a linear inequality. write the inequality in slope - intercept form.
write your answer with y first, followed by an inequality symbol. use integers, proper fractions, and improper fractions in simplest form.

Explanation:

Step1: Find the slope and y-intercept

The line passes through (0, 1) and (1, -3). Slope \( m=\frac{-3 - 1}{1 - 0}=-4 \). Y-intercept \( b = 1 \). The equation of the line is \( y=-4x + 1 \).

Step2: Determine the inequality symbol

The line is dashed (so not equal) and the shaded region is to the right of the line, meaning \( y\) is greater than the line's equation. So the inequality is \( y>-4x + 1 \).

Answer:

\( y > -4x + 1 \)