Question

What is the inequality for the points (3,0) and (-2,-5)

Answer 1

Okay so becuase the line is dashed and not solid it means that its either going to be less than or its going to be greater than.

to find the slope use m = y2 - y1 / x2 - 1
insert the points you have (from left to right) --> (-2, -5) (3, 0)

m = 0 - (-5) / 3 - (-2)
m = 0 + 5 / 3 + 2
m = 5/5 = 1

In your equation y = mx + b you can insert the slope (m) however, because it is a 1 you dont have to write it in, just remember its there.
y = x + b

now find the y intercept and on this graph its as easy as looking at the line and finding where it intersects the y axis. in this case it is at -3 so for your b value put -3.
y = x - 3

now like i said above about the line being dashed, you know its NOT >= or <= so you have to look at the shading which is below the line. The shading represents possible y variables, so if the shading is below the line, values of y will be less than the line meaning the inequality sign should be < (less than).

the inequality of the line is: y < x - 3

you can graph it to make sure its correct :)

Answer 2

Thank you so much

Answer 3

Your welcome :)

Answer 4

does it all make sense? i know its a lot..

Answer 5

Yes :)