Question

Which of the following ordered pairs should be tested to determine which

side to shade when graphing the inequality y> 5x + 1?
A. Two points below the line y = 5x + 1
B. Two points above the line y = 5x + 1
C. A point on either side of the line y = 5x + 1
D. A point on the line y = 5x + 1

Answer 1

C.

If the line doesn't pass through the origin, the easiest point to pick is the origin (0,0). Substitute into your inequality.

y > 5x + 1

0 > 5(0) + 1

0 > 1 which is a false statement.

So, you shade the side of the line on which (0,0) doesn't lie.

If the statement would have be true, you shade the side of the line on which (0,0) lies.