Slope
Standard Form
Word Problems
y = mx + b
Functions and Relations
100
What kind of slope is between the points (7, 8) and (3, 8)?
What is ZERO SLOPE
100
Rewrite equation in slope-intercept form.
3x+y=5
y=-3x+5
100
Jasmine has $18 to buy books at the library used book sale. Paperback books cost $3 each. Write an equation to show her amount of money left (y) based on how many books shy buys (x)
y = -3x + 18
100
**use a graph*** graph y = -2x + 6
(see graph)
100
Is this relation a function? Tell yes/no and why. {(4, 5), (7, 5), (9, 3), (-2, 10)}
Yes, it's a function. None of the x values repeat. One of the y's repeat, but that's okay.
200
Find the slope of the line that goes between (3, 4) and (4, 6)
What is m = 2
200
Rewrite equation in slope-intercept form.
15x+5y=5
y=-3x+1
200
In math class, Lauren earned a 94% in the first quarter, an 86% in the second quarter, an 88% in the third quarter, and a 96% in the fourth quarter. Find the rate of change from the second to the fourth quarter.
m= 5% per quarter
200
write an equation of a line that has a slope of -3 and a y-intercept of 5
y = -3x + 5
200
Is this relation a function? Tell yes/no and why.
{(-7, 5), (0, 6), (5, 3), (0, 10)}
No-- zero repeats as an x. If there are two x values with different y values, it's not a function.
300
Find the slope of the line that goes between (1, -3) and (5, 4)
What is m = 7/4
300
Rewrite equation in slope-intercept form.
5x+6y=12
y= -5/6x +2
300
A roller coaster drops down 56 feet as its track goes 42 feet forward. What is the slope of the drop?
m = -4/3
300
write an equation of a line that goes through (5, 8) and (9, 12) and has a y intercept of (0, -8)
y = x - 8 (use the points to find the slope, then plug it all in)
300
What is the name of the rule that determines whether a relation is a function when you are LOOKING AT A GRAPH?
What is the Vertical Line Test
400
Find the slope of the line that goes between (-3, 6) and (-5, 9)
What is m = -(3/2)
400
We have 48 minutes in class and we will spend time on whiteboard questions and graphs. Each whiteboard question takes 2 minutes and each graph takes 3 minutes. Write an equation for the possible combinations of whiteboard questions and graphs.
2x + 3y = 48
400
You are predicting how much money you will have saved (y) after working a certain number of hours (x). You use the equation y = 18x + 500. How much do you already have saved and how much do you earn per hour? How much will you have after working a full work week (40 hours)? ***THREE ANSWERS***
-already saved $500 -earn $18 per hour -after working 40 hours, saved $1220
400
write an equation of the line and define the slope.
x=8
slope=undefined
400
Draw an example of a linear function, and an example of a function that is not linear. Label which is which.
(see drawings. Make sure the one that's not linear is still a function!)
500
Find the slope of the line that goes between (3 and 1/2, 5 and 1/4) and (2 and 1/2, 6) ***use fractions, not decimals, to get the points!
What is m = -3/4
500
You get an 18 inch tall baby llama for your birthday, and the llama guy tells you that it will grow 6 inches per year. Write an equation for how tall the llama will be (y) based on how many years (x) you own it.
Then graph and tell me one solution and what it means.
y = 6x + 18
500
You take a hot-air balloon ride on a day when the temp is 24 degrees C at sea level. The equation y = -6.6x + 24 represents the temperature (y) at x kilometers above sea level. -how does the temp change with each km?
temp drops 6.6 degrees C with each km you go up
500
D
500
Is it possible to have a linear equation that is not a function? Tell yes/no and why.
YES-- you can have a linear equation that is a vertical line. BONUS: give an example of this kind of equation.