Question

Which system of linear inequalities is represented by the graph?

Answer 1

the first one (y=
`(1)/(3)`x+3 and 3x-y=2)

Explanation:

y=
`(1)/(3)`x+3 is the red line, while 3x-y=2 is blue.

For red, the slope is 1/3 because the y value of the function only increases by one (between x values 0 and 3) while the x value increases by 3. The y intercept is also 3.

Blue can also be rewritten as 3x-2=y. From this, we can get a lot of information. the y-intercept is 2, and the slope is 3.