Question

In graphing the equation y<2x -5, the line is dotted and shaded below the line drawn.

True

False

Answer 1

True.

Explanation:

This is 'less than' so the area below the line is shaded.

It is a dotted line because the solution does not contain points on the line as the inequality sign is < NOT ≤.

Answer 2

First option: True.

Explanation:

The equation of the line in Slope-Intercept form is:

`y=mx+b`

Where "m" is the slope of the line and "b" is the y-intercept.

Given this inequality:

`y<2x -5`

We know that the line is:

`y=2x -5`

Whose slope is 2 and the y-intercept is -5

The symbol "<" provided in the inequalty, indicates that the shaded region must be below the line and the line must be dotted. Therefore, the answer is: TRUE.