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Graphing Linear Equations and Inequalities
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Which Inequality signs require dashed lines?
greater than or equal to and less than or equal to (≥ & ≤)
Solve this for y: 4x - 3y ≥ 24
Manually Check
Solve this for y: 2x + 3y ≥ 12
Manually check
Solve this for y: 2x - 3y ≥ 12
Manually check
When graphing y > 3x+2, you will shade above or below the line?
Above
When graphing y > 3x+2 , you will draw a dashed or solid line?
Dashed
Why is (3,1) not a solution to this inequality?
Because the line is dashed
Is the point (0,0) a solution to this inequality?
yes
Is the ordered pair (-3,1) a solution to this inequality?
No
Is the ordered pair (1,1) a solution for this graph?
Yes
Do I need to flip my sign when solving? 2x - 3y ≥ 12
Yes
Which Inequality sign would this be a graph of?
Less than or equal to
Is the shading above or below?
Above
Dashed lines have these symbols in the inequality
< and >
If a line is < or equal to ... it is ___________________
solid
Graph the line: -2 = y
A horizontal line at y = -2
Graph the line: 6 = x
A vertical line at x = 6.
Graph the line: y = 1/5 x - 3
Small positive slope, crosses at -3
Graph the line x + y = 2
Negative slope, intercepts are 2 and 2.
Graph the line: y = 7 - (5/2)x
negative slope, crosses when y = 7.
Graph the inequality: y > -1/2 x + 4
shaded above, dashed line, negative slope, crosses at 4
Graph the inequality: y < -2x + 5
Shaded below, dashed line, negative slope, crosses at y = 5.
Graph the line: x = 5
Vertical line when x = 5.
Graph the line: y = - 4
Horizontal line at y = - 4
Graph the line: y=2/3 x + 1
positive slope of 2/3 crossing at y=1