Graphing Linear Inequalities

1
Graphing LinearInequalities
slope and y-intercept
Jeff Bivin -- LZHS
2
y 2x 1
y 2x 1
Run
1
y-intercept
Rise
b 1
2
slope
m 2
Jeff Bivin -- LZHS
3
y 2x 1
Now for the shading
y 2x 1
Pick a point on either side of the graph
Lets try (2, 1)
Does the point satisfy the inequality?
Shade
1 2(2) 1
1 4 1
TRUE
1 5
Therefore, shade the half-plane with the point.
Jeff Bivin -- LZHS
4
y 2x 1
What if we picked a point on the other side of
the line?
y 2x 1
Don't Shade
Lets try (-2, 3)
Does the point satisfy the inequality?
Shade
3 2(-2) 1
3 -4 1
3 -3
FALSE
Therefore, shade the otherhalf-plane opposite
the point.
Jeff Bivin -- LZHS
5
y -3x 2
y -3x 2
Run
1
y-intercept
Rise
b 2
-3
slope
m -3
Jeff Bivin -- LZHS
6
y -3x 2
y -3x 2
Now for the shading
Pick a point on either side of the graph
Lets try (0, 0)
Shade
Does the point satisfy the inequality?
Don't Shade
0 -3(0) 2
0 0 2
FALSE
0 2
Therefore, shade the other half-plane opposite
the point.
Jeff Bivin -- LZHS