Question

The graph below represents which system of inequalities?

graph of two infinite lines that intersect at a point. One line is solid and goes through the points negative 3, 0, negative 4, negative 1 and is shaded in below the line. The other line is solid, and goes through the points 1, 1, 2, negative 1 and is shaded in below the line.

y ≤ −2x + 3
y ≤ x + 3
y ≥ −2x + 3
y ≥ x + 3
y ≤ −3x + 2
y ≤ −x + 2
y > −2x + 3
y > x + 3

Answer 1

http://learn.flvs.net/webdav/assessment_images/educator_algebraI_v20/06_06_07.gif

Answer 2

can you help me

Answer 3

can you find the slope between points
negative 3, 0, negative 4, negative 1
which I assume means (-3,0) and (-4, -1)

Answer 4

find "change in y" divided by "change in x"

Answer 5

so it would look like
-1-0/-4+3

Answer 6

yes. now simplify

Answer 7

its 1

Answer 8

if you write the equation of a line in the form
y = mx + b
m is the slope
in this case
y = 1x + b
or just
y= x+ b

when they say
One line is solid
that means either \( \le \) or \( \ge\)

Answer 9

ok so the answer is D

Answer 10

is shaded in below the line

that means the "y" values are less than or equal to the line
so you should look for
\[ y \le x + b \]
as one of the answers.
cross off any choice that does not have that as an option.

Answer 11

is the B three

Answer 12

choice D
y > −2x + 3
y > x + 3

means: 1) the > means the line is dotted.
2) the shaded area is y bigger (i.e. above) the line

so D is wrong two different ways.

Answer 13

ok so its A

Answer 14

we could figure out what b is in
y = x + b
by using one of the points:
(-3,0)
replace x with -3 and y with 0
0 = -3 + b
add +3 to both sides
+3 = -3 + 3 + b
or
3= b
so yes , b is 3

Answer 15

Yes. the answer is A
B has the wrong >= sign
and C does not have y <= x + 3

Answer 16

If you wanted, you could find the slope of the second line,
and figure out its equation. But unless there is a typo, it will be
y <= -2x+3

Answer 17

thanks for your help and have a great fourth of july