Question

a graph is shown below: dotted line joining ordered pair 1, negative 1 and 3, 0 and the region below this line is shaded which of the following inequalities is best represented by this graph? x − 2y > 3 x − 2y < 3 2x − y > 3 2x − y < 3

Answer 1

First, we solve for the equation of the line using the two-point formula:
(y - y1) / (x - x1) = (y2 - y1) / (x2 - x1)
The coordinates are:
(1,-1)
(3,0)
(y - (-1)) / (x - 1) = (0 - (-1)) / (3 - 1)
y = 0.5x - 1.5

Since the line is dotted, it's a strict inequality and since the portion below the line is shaded, we use the inequality, less than.

y < 0.5x - 1.5

In standard form:
x - 2y > 3

The answer is the first option.