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3.3 Find Slope and Rate of Change. Objective: Students will be able to find the slope of a line and interpret slope as a rate of change. Definitions. Slope- a ratio of the change in the y-coordinates to the change in the x-coordinates. Shows how steep a line is.
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3.3 Find Slope and Rate of Change Objective: Students will be able to find the slope of a line and interpret slope as a rate of change
Definitions • Slope- a ratio of the change in the y-coordinates to the change in the x-coordinates. Shows how steep a line is. • Rate of Change- a ratio that describes how much one quantity changes with respect to a change in another quantity
Slope • Symbol “m” • m= Rise = change in y • Run Change in x • Form: m = y2- y1 • x2 – x1 • (x1,y1) , (x2,y2)
y x Positive Slope m › 0 line rises from left to right
y x Negative Slope m < 0 line falls from left to right
Find the Slope of the line that passes through the points (-3,-1) and (2,-1)
y x Slope of Zero m = 0 Horizontal Line
Find the slope of the line that passes through the points (-2,4) and (-2,-3)
y x Undefined Slope m = undefined Vertical Line
List the 4 Ways we can classify the slope of a Line Positive Negative No Slope Undefined
Rate of Change Rate of change = Change in y Change in x
Rate of Change Use the table to find the rate of change. Then explain its meaning.
Find the Rate of Change The table shows the cost of using a computer at an internet café for a given amount of time. Find the rate of change in cost with respect to time.
Given the Slope find the missing coordinate (x, 4), (6,-1); m= 5 6
Given the slope find the missing coordinate (1,3), (9,y); m= 3 4
Given the Slope Find the Missing Coordinate (4,3), (x,7) ; m= -2 (-4,r),(-8,3); m=-5