Question

slope = -0.5

1. (+4 points)

8.3.11

match the lines with their equations.
line l \ta. y = -2x +4
y
line m \tb. y = x -1
line n \tc. x = -4
line p \td. y = 4

Explanation:

Step1: Analyze Line L

Line L is a horizontal line. Horizontal lines have the equation \( y = k \) (constant). Looking at the graph, Line L is at \( y = 4 \), so it matches equation d. \( y = 4 \).

Step2: Analyze Line p

Line p is a vertical line. Vertical lines have the equation \( x = k \) (constant). From the graph, Line p is at \( x = - 4 \), so it matches equation c. \( x=-4 \).

Step3: Analyze Line m

Line m is a decreasing line (negative slope). Let's check the slope and y - intercept. The equation \( y=-2x + 4\) has a slope of - 2 (negative) and y - intercept 4. From the graph, Line m has a negative slope and seems to match \( y=-2x + 4\), so it matches equation a.

Step4: Analyze Line n

Line n is an increasing line (positive slope). The equation \( y=x - 1\) has a slope of 1 (positive) and y - intercept - 1. From the graph, Line n has a positive slope and matches \( y=x - 1\), so it matches equation b.

Answer:

Line L - d. \( y = 4 \)
Line m - a. \( y=-2x + 4 \)
Line n - b. \( y=x - 1 \)
Line p - c. \( x=-4 \)