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Rate of Change
Slope and Y-Intercept from Two Points
Slope and Y-Intercept from Slope-Intercept Equations
X-Intercept, Y-Intercept, and Slope in Standard Form
Converting Between Standard Form, Point Slope Form, and Slope-Intercept Form
100
Find the Average Rate of Change Suppose the temperature drops from 100°F at 3PM to 80°F at 3AM.
What is Average Rate of Change is -1.6666°F per hour
100
Find the slope of (1, -1) and (2, -2)
What is -1
100

Find the Slope Y=2x-18

What is 2

100
Find the X-Intercept and the Y-Intercept Y=3x+6
What is X-Intercept is -2, Y-Intercept is 6
100
Convert this to standard-form Y=2x+3
What is Y-2x=3
200
Find the Average Rate of Change Suppose Lauren runs 4 miles during her first hour of running and 3 miles her second times.
What is Average Rate of Change is 3.5 miles per hour
200
Find the Y-Intercept from, (-1, 0) and (0, -1)
What is -1
200
Find the Y intercept Y=3x+5
What is 5
200
Find the X-Intercept and Y-Intercept Y=4x-6
What is X-Intercept is 1.5, Y-Intercept is -6
200
Convert this to standard form Y=1/3x-5
What is y-1/3x=-5
300
Find the Average Rate of Change Suppose Steven eats 15 hot dogs per minute during the first 30 minutes of the contest and 6 hot dogs per minute during the second 30 minutes.
What is Average rate of change is 9 hot dogs per minute
300
Find the slope of (7, 9) and (15, 9)
What is 0
300
Find the Slope Y=x-9
What is 1
300
Find the X-Intercept and Y-Intercept Y=-1/3x-9
What is X-Intercept is -27, Y-Intercept is -9
300
Convert this to slope-intercept form (4,-3) slope: -2
What is Y=-2x+5
400
Suppose a House cost $260,000 in year 2000 but $204,000 in 2003. Find the average rate of change and use it to determine how much the house will cost in year 2005
What is Average rate of change is -$18,666.67 per year Price in 2005 should be about $93,333.34
400
Find the Y-intercept of x=0
What is Undefined
400
Find the Y Intercept Y=2/3x
What is 0
400
Find the X-Intercept and Y-Intercept -2x+y=18
What is X-Intercept is -9, Y-Intercept is 18
400
Convert this to slope-intercept form (9,-20) slope:-3
What is Y=-3x-51
500
Suppose a car cost $33,560 in 2015 but cost $27,480 in 2019. Find the average rate of change and use it to find the prices of the car in 2017 and 2020.
What is Average Rate of Change is -$1,520 per year
500
Find the Y-Intercept, (-1, -1) and (4, -6)
What is -2
500
Name the first two points on this line Y=x
What is (0,0) and (1,1)
500
Find the X-Intercept and Y-Intercept y-x=-3/8
What is X-Intercept is 3/8, Y-Intercept is -3/8
500
Convert this to standard form (7,5) slope: 3
What is y-3x=-16