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
