Slopes and Intercepts
Slope Formula
Graphs
Word Problems
Is it Proportional?
100
What is the y-intercept of this graph?
1
100
What is the equation for a line
y=mx + b
100
What is the slope of this line?
-3/4
100
Each time Garrett buys a coffee it cost $2 write and solve an equation that represents how much Garret spends on coffee in a given week.
Write the equation
Show substitution
Remember to label your answer
y=2x
y=2(7)
y=$14
100
Is it proportional? If yes, what is the constant of proportionality? If no, which one prevents it from being proportional?
Yes, 1/3
200
y = 10x - 13
What is the y-intercept for this function equation?
-13
200
What does b represent in the equation of a line, y=mx + b
y-intercept
200
What type of slope is this?
Zero
200
Lisa joins a pickleball club. It costs Lisa $150 to join the club. She has to pay $9 each additional time she goes to the club. Write an equation to represent the cost of Lisa using the pickleball club.
y=9x+150
200
Is it proportional? If yes, what is the constant of proportionality? If no, which one stops it from being proportional?
No, 146 divided by 12 is not 13
300
What is the slope of this line?
y = -x - 3
y = -x - 3
slope = -1
300
What is the y-intercept in this equation
y=3x
0
300
What type of slope is this?
undefined
300
While chilling on the beach, Rico notices a Jet Ski passing by. Rico is amazed at how rapidly the Jet Ski moves, so he starts timing it. The Jet Ski skids across the water 100 yards each minute. Write an equation to represent the speed of the Jet Ski.
y=100x
300
Is it proportional? If yes, what is the constant of proportionality? If no, which one prevents it from being proportional?
no, 14/12 does not reduce to 3/2
400
What is the slope of this line?
slope = 2
400
In the equation of a line, y=mx + b, what does m represent?
slope
400
Find the slope
Write an equation in slope-intercept form
y=-1/2x+2
400
While chilling on the beach, Rico notices a Jet Ski passing by. Rico is amazed at how rapidly the Jet Ski moves, so he starts timing it. The Jet Ski skids across the water 100 yards each minute.
y=100x
Identify what each part of the equation represents
y=
m=
x=
y= distance traveled
m= speed
x= time
400
Is this a proportional graph? Why or why not?
No, it does not pass through the origin
500
Define y-intercept
where the line passes through the y-axis
500
Look at this table:
x_|_y
0 | 8
1 | 6
2 | 4
Is the slope negative, positive, zero, or undefined? How do you know?
Negative. m = -2
500
Write an equation for this line in slope-intercept form
y=-5/4+1 1/4
500
While chilling on the beach, Rico notices a Jet Ski passing by. Rico is amazed at how rapidly the Jet Ski moves, so he starts timing it. The Jet Ski skids across the water 100 yards each minute.
If Rico watches the Jet Ski for 7 minutes how far will the Jet Ski have traveled?
700 yards
500
Is it proportional? If yes, what is the constant of proportionality? If no, which one stops it from being proportional?
Yes, 3/4