Question

A graph is shown below:

Solid line joining 0, negative 2 and 1, 3 and the region below the line is shaded.

Which of the following inequalities is best represented by this graph?
5x + y ≤ 2 5x + y ≥ 2 5x − y ≤ 2 5x − y ≥ 2

Answer 1

First let's find the slope of the line through (0,-2) and (1,3)

Do you know how to do this?

Answer 2

No

Answer 3

do you agree that for something like (0,-2) the value of x is 0 and the value of y is -2 ?

Answer 4

Let us find an equation through (0,-2) and (1,3)
\[y-y1=\frac{ y2-y1 }{ x2-x1 }\left( x-x1 \right)\]
\[y+2=\frac{ 3-(-2) }{ 1-0 }\left( x-0 \right)\]
y+2=5x
5x-y=2
now let us draw this line