Question

slope and rate of change student handout
the side view of two ramps at a local skate park are shown.
a. what measurement do the ramps have in common?
b. what measurement is different between the ramps?
c. which ramp appears steeper? justify your answer using a and b.
slope

• when a linear relationship is graphed, the slope is a value used to describe the

______ of the line.

• slope is the ratio of the ____ change compared to the __ change, or rise/run. slope is equal to the __ of ____ of the graph and the linear relationship.

there are four types of slope as described and shown in the table below.
types of slope
a ______ slope increases from left to right.
a ______ slope decreases from left to right.
a ______ slope is a horizontal line.
an ______ slope is a vertical line.
finding slope from a graph

• choose two ______ on the graphed line.
• draw a right triangle to count the ____ and the ____ between the points.
• set up a ______ of rise/run and simplify.
• double check if the graph is ____ or ____

Explanation:

Answer:

(a) Height (both are 8 ft)
(b) Base length (ramp A has base 12 ft, ramp B has base 8 ft)
(c) Ramp B appears steeper. Since the height (rise) is the same for both ramps (8 ft) and ramp B has a shorter base (run) than ramp A, a smaller run for the same rise gives a larger slope value.
(For the fill - in - the - blanks part)
When a linear relationship is graphed, the slope is a value used to describe the steepness of the line.
Slope is the ratio of the vertical change compared to the horizontal change, or $\frac{RISE}{RUN}$. Slope is equal to the ratio of the change in $y$ and the change in $x$ of the graph and the linear relationship.
A positive slope increases from left to right. A negative slope decreases from left to right. A zero slope is a horizontal line. An undefined slope is a vertical line.
Follow the steps described below to find the slope of the graphed line.
Choose two points on the graphed line.
Draw a right triangle to count the rise and the run between the points.
Set up a ratio of $\frac{RISE}{RUN}$ and simplify.
Double check if the graph is increasing or decreasing.