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 < 4x + 3
dashed line, slope of 4, y-intercept of 3, shaded on the side with (0, 0)
300
graph y< 4x
dashed line, slope = 4, y-intercept = 0, shaded on side with (1, 1)
400
(-3, -6) and (12, -6)
m = 0 OR no slope
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?
substitute a point into the inequality, and see if you get a true statement. Shade that side if it is true; if not, shade the other side
500
(-2, -3) and (-4, -6)
m = 3/2
500
Write in y = form
10y - 6x = -20
y = (-2) + 6/10 x
OR y = 3/5 x -2
500
Find the slope:
4x - 8y = -16
m = 1/2 OR 4/8
500
y< -x
dashed line, slope = -1, y-intercept = 0, shaded on side with (-3, 1)
500
Graph: 3x - 9 < y
dashed line, slope = 3, y-intercept = -9, shaded on side with (0,0)