Questions: Match each linear equation with its graph Equation Graph Color y=1/2 x-2 a. blue (B) y=3 b. red (R) y=-1/4 x-2 c. green (G) d. purple (P) y=-x-1 e. black (K)

Transcript text: Match each linear equation with its graph Equation Graph Color $y=\frac{1}{2} x-2$ a. blue (B) $y=3$ b. $\operatorname{red}(R)$ $y=-\frac{1}{4} x-2$ c. green (G) d. purple (P) $y=-x-1$ e. black (K)

Solution

Solution Steps

Step 1: Analyze the equations and the graph

We are given five linear equations and a graph with lines of five different colors. We need to match each equation to the corresponding colored line on the graph.

Step 2: Match y = 3

This equation represents a horizontal line where y is always 3. This corresponds to the black (K) line on the graph.

Step 3: Match y = -x - 1

This equation has a y-intercept of -1 and a slope of -1. This corresponds to the purple (P) line on the graph.