Question

On a piece of paper, graph y< -*x+1. Then de determine which answer choice matches the graph you drew. A B C 5 (5,3) 5 45.3) 1 (-5,3) 65 31 To 1 5 O A. Graph A B. Graph B O C. Graph C D. Graph D

Answer 1

Step-by-step explanation

Given the inequality

y < -2/5 x + 1

Before we plot the required graph, we need to find the x and y intercept of the equation:

x intercept occur at where y = 0

Substitute:

0 = -2/5x + 1

2/5x = 1

2x = 5

x = 5/2

x = 2.5

hence the first coordinate is at (2.5, 0)

y intercept occurs at where x = 0

Substitute into the equation and get y

y = -2/5(0) + 1

y = 0+1

y = 1

Hence the second coordinate is (0, 1)

Plotting the graph required:

Hence the required graph is option B. Note the line is a broken line due to the inequality sign not containing the equal to sign