Am I correct?

Question

Am I correct?

thefluffmuncher · Answer

http://prntscr.com/cyzka9

thefluffmuncher · Answer

it told me to write an inequality for the graph

thefluffmuncher · Answer

$$y \le 5x+8$$

mathstudent55 · Answer

Look at the y-intercept.
What is it?

thefluffmuncher · Answer

Well it doesnt really show it

mathstudent55 · Answer

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thefluffmuncher · Answer

but it doesnt really show that in the graph

mathstudent55 · Answer

Yes, it shows it very clearly.
At what point on the y-axis does the straight line intersect the y-axis?

mathstudent55 · Answer

It's exactly where the bottom arrowhead tip is.

thefluffmuncher · Answer

oh -8

thefluffmuncher · Answer

so its 5x-8?

mathstudent55 · Answer

Good.
That means the line has to have equation

$y = mx - 8$

mathstudent55 · Answer

Correct.
The slope is 5, so the line has to be

$y = 5x - 8$

mathstudent55 · Answer

The line is solid, so it has to be

$y \le 5x - 8$

or 

$y  \ge 5x - 8$

mathstudent55 · Answer

Look at point (0, 0).
Test point (0, 0) in both choices.
Since point (0, 0) is not shaded, the correct answer is the inequality that is not true for point (0, 0).

mathstudent55 · Answer

$y \le 5x - 8~~~~~~~~~~~~y \ge 5x - 8$

$0 \le 5(0) - 8~~~~~~~~~~0 \ge 5(0) - 8$

$0 \le 0 - 8~~~~~~~~~~~~~~0 \ge 0 - 8$

$0 \le - 8~~~~~~~~~~~~~~~~~0 \ge - 8$

False                     True

Inequality               Inequality 
above is                above is 
correct                  not correct
answer                  answer

thefluffmuncher · Answer

But then why is the region shaded below the line?

mathstudent55 · Answer

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