Slope given 2 points
(6, 6) & (2, 4)
m = 1/2
The tilt or slant of a line
slope
Find the slope of the line x = 12
undefined
y = 2x - 7
positive slope of 2, y- intercept of -7
Explain when to use solid and dashed lines
dashed - with > OR < solid - with > or = AND < or =
(0,0) and (-3, -3)
m = 1
The first coordinates in a set of ordered pairs
domain
Find the slope and y-intercept y = 3x -7
m = 3 b = -7
y = -5x
negative slope, y-intercept = 0
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
(8, 8) and (8, 0)
m = undefined
Any equation whose graph is a line
linear equation
y = 7 Find the slope and y -intercept
m = 0 b = 7
y < 4x + 3
dashed line, slope of 4, y-intercept of 3, shaded on the side with (0, 0)
graph y< 4x
dashed line, slope = 4, y-intercept = 0, shaded on side with (1, 1)
(-3, -6) and (12, -6)
m = 0 OR no slope
function
a relation where each member of the domain is paired with exactly ONE member of the range.
Determine the slope: a vertical line
undefined
2y -2x > -6
dashed line, slope = 1, y-intercept = -3, shaded on side with (0, 0)
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
linear equation
any equation whose graph is a line
Find the slope: 4x - 8y = -16
m = 1/2
y< -x
dashed line, slope = -1, y-intercept = 0, shaded on side with (-3, 1)
Graph: 3x - 9 < y
dashed line, slope = 3, y-intercept = -9, shaded on side with (0,0)