Question

What graph is the graph of y ≥ 1 - 3x?

Answer 1

The graph of given equality is shown below.

Explanation:

The slope intercept form of a line is

`y=mx+b` .... (1)

where, m is slope and b is y-intercept.

The given inequality is

`y\geq 1-3x`

The related equation of the given inequality is

`y=1-3x` .... (2)

On comparing (1) and (2), we get

`m=-3, b=1`

It means the slope of the line is -3 and y-intercept is 1. The graph of related line is a solid line because the sign of inequality is ≥.

Check the given inequality by (0,0).

`0\geq 1-3(0)`

`0\geq 1`

This statement is false. So, (0,0) is not included in the solution set.

Therefore, the graph of given equality is shown below.

Answer 2

Greetings!

First of all option C and D are ruled out because no area is shaded. Because the values of Y are all ≥ 1 - 3x the area shaded should be above the line and the line should not be dotted, it should be a full line. Although there seems to be no option for both a full line and above the line is shaded.

Hope this helps!