Question

Can any one help with some system of equation and graphing questions ?

Answer 1

The second line is a dashed line that passes through the points (-1, 3) and (0, 1) and is shaded above the line.

So, if you didn't even want to solve this line equation, you might notice also that "shaded above the line" means a "greater than" symbol... not a "greater than or equal to".

That means answer 3 can't work

Answer 2

The first line is a solid line that passes through (-3, 2) and (0, 3) and is shaded below the line.

So the slope is (y2 - y1) / (x2 - x1) = (3 - 2) / (0 - (-3) ) = 1 / 3

And the y intercept is given as (0,3), or just "3"...

So the line equation in y = mx + b format is:

y = (1/3)x + 3 and since it's "shaded below the line", it is an inequality like:

y < (1/3)x + 3

Answer 3

Looking at your answer choices, I don't see any "1/3" stuff. But if you multiply the whole thing through by 3, the fraction goes away...

y < (1/3)x + 3

Multiply by 3:
3y < x + 9

That looks more like something in your options, but they show it with x on the same side as y...

-x + 3y < 9

This matches choices 1 and 3.
I'm going with the answer A.)

Answer 4

Thanks !! :) That helped alot !!

Answer 5

could you help me with one more graph?

Answer 6

Np:)