Question

Which of the following inequalities matches the graph?
y < 1/3 x + 3
y < 3/2 x + 3
--
y > 3/2 x + 3
--
The correct inequality is not listed.

Answer 1

First off, what is the slope of the line?

Answer 2

Then, remember that:

Greater than(>)... Shading ABOVE the line.
Less than(<)... Shading BELOW the line.

Answer 3

ok

Answer 4

soooooooo...

Answer 5

Okay I'll help with the slope in a sec. So what would the sign be? > or <

Answer 6

<

Answer 7

Right. So you have
y < 1/3x + 3
and
y < 3/2x + 3

Remember in y = mx + b m is the slope. So your choices are a slope of 1/3 or 3/2.

\[Slope=\frac{ rise }{ run }\]

Do you see point (-2, 0) and point (0, 3) on that line?

Answer 8

yess

Answer 9

Okay from point (-2, 0) how many spaces do you RISE to get to (0, 3)