Question

The graph below represents which system of inequalities?


y > 2x - 3
y > -x - 3

y < 2x - 2
y < -x + 3

y <= 2x - 2
y > -x + 3

None of the above

My answer is
y > 2x - 3
y > -x - 3

Am I right?

Answer 1

Unfortunately, no. You have to think of those answers all as actual graphs. In your answer you have y > 2x -3. Would you know how graph itif it were just y =2x - 3?

Answer 2

Would it be this one then?
y <= 2x - 2
y > -x + 3

Answer 3

Yes, but do you know why?

Answer 4

Can you please explain it to me?

Answer 5

Well, the biggest key to knowing is to know how to actually graph those lines. Do you know how to graph something like y = 2x - 2, or are we unsure?

Answer 6

Unsure

Answer 7

Alright. Have you seen
y =mx + b
slope-intercept form before?

Answer 8

Yes

Answer 9

Alright. Well, m is the slope of our line and b is the y-intercept, which is where the graph touches the y-axis. So if we have y = 2x - 2, this means the slope is 2 and the y intercept is at y = -2.
Now slope is rise over run. Since our slope is 2, which is the same as (2/1), we go up two right 1, up two, right 1 each point we move. So starting from the y-intercept at -2, we can do that kind of movement.



That make any sense?