Slope given 2 points
Write the equation
Determine the slope and y-intercept
Describe the graph
Linear Inequalities
100
(6, 6) & (2, 4)
m = 1/2 (or 2/4 or 0.5)
100
Write the equation m = 1/3 and b=-3
y = 1/3 x -3 OR y = 1/3 x + (-3)
100
Find the slope of the line x = 12
undefined
100
y = 2x - 7
positive slope of 2, y- intercept of -7, x- intercept of 3.5
100
Explain when to use solid and dashed lines
dashed - with > OR < solid - with > or = AND < or =
200
(0,0) and (-3, -3)
m = -1
200
Write in y = form 2x + 2y = -8
y = -4 - x
200
Find the slope and y-intercept y = 3x -7
m = 3 b = -7
200
y = -5x
negative slope, y-intercept = 0, x-intercept = 0
200
Explain the steps to graph a linear inequality
1. determine solid or dashed line 2. determine m and b 3. graph the line. 4. Shade by substituting in a point. TRUE statement - shade the side with that point FALSE statement - shade the side without the point
300
(8, 8) and (8, 0)
m = undefined
300
Write the equation of the line with: no y-intercept slope is undefined passes through the point (-4, 5)
x = -5
300
y = 7 Find the slope and y -intercept
m = 0 b = 7
300
y < 4|x| + 3
dashed V shape, slope of 4, Vertex at (0,3), shaded above
300
graph y< 4|x|
dashed V, slope = 4, y-intercept = 0, shaded on side with (1, 1)
400
(-3, -6) and (12, -6)
m = 0
400
Write teh equation in y = form b= -2, m = 0
y = -2 OR y = 0x - 2 OR y = 0x + (-2)
400
Determine the slope: a vertical line
undefined
400
2y -2x > -6
dashed line, slope = 1, y-intercept = -3, shaded on side with (0, 0)
400
How do you know where to shade the graph?
Solve for y first. If > or >=, shade above, if < or <=, shade below
500
(-2, -3) and (-2, -6)
undefined slope
500
Write the equation of a V shape with vertex (3, -2) and slope -3
y = -3|x-3|-2
500
Find the slope: 4x - 8y = -16
m = 1/2 OR 4/8
500
y< -2|x-3|+4
dashed v pointed down, slope = -2, vertex (3,4), shade below
500
Graph: 3|x| - 9 < y
dashed V, slope = 3, vertex (0.-9), shaded above
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