Lesson Objectives
Identify if the slope of a linear relationship is In math, slope is used to describe the steepness and direction of lines.
Determine
Interpret slope in the context of real-world scenarios.
the slope of a line from a graph, table of values, or ordered pairs.
The slope of a line gives an indication of the steepness of the line.
In the diagram shown,
Which line has the greatest slope?
Which line has the least slope?
Generally, there are four (4) types of slopes of a line. These are...
positive,
negative,
zero and
undefine slopes.
Line goes up from the left to right
Line goes down from the left to right
y- value stays constant as x-values increase
Undefined Slope (vertical)
x-value stays constant as y-values increase
The slope of a line is expressed as a fraction that is commonly referred to as rise over run.
The numerator (rise) refers to how many units up or down and the denominator (run) refers to how many units left or right. The direction will depend on whether or not the slope is positive or negative.
Positive Slope: Rise Over Run
Rise: UPWARDS Run: TO THE RIGHT
Negative Slope: Rise Over Run
Rise: DOWNWARDS Run: TO THE RIGHT
Instructions: Move point (a) to the left and to the right and state your observation to the sign of the slope (m) generated.