Finding Slope & y-intercept
Name that Slope
Two Points
y=mx+b
Word Problems
100
What is the slope of the line?
1
100
A slope that goes upward from left to right.
positive
100
Find the slope of a line that lies on the following points.
(3,5) and (6,6)
1/3
100
What is a phrase that can also mean slope?
rate of change
100
y=5x-100 can be used to represent the profit of a pretzel stand in a day. If y represents the profit of $375, how many pretzels, x, did they sell?
55
200
y = 13x + 10
What is the y-intercept of this equation?
10
200
A slope that goes down from left to right.
negative
200
Find the slope of a line that lies on the following points.
(4,3) and (-2, 9)
6/-6 or -1
200
After a rainstorm, the water in a trough begins to evaporate. The amount of gallons remaining after t days is given by V=50-1.2t. What is the initial value?
50 gallons
200
y=5x-100 can be used to represent the profit of a pretzel stand in a day. y represents the profit and x represents the number of pretzels sold. What is the profit for selling 70 pretzels?
$250
300
What is the slope of this line?
y = -x + 2
-1
300
A slope of a horizontal line.
zero
300
Find the slope of a line that lies on the following points.
(-5,-4) and (-3,-1)
3/2
300
What two words do we use to describe the slope ratio?
rise/run
300
y=-20x + 13,500 represents the amount of water draining from a pool per minute. What could the y-intercept represent in this situation?
The initial amount of gallons of water in the pool.
400
What is the slope and y-intercept of this equation?
y = 8 - 2x
slope = -2 y-intercept = 8
400
A slope of a vertical line.
undefined
400
Find the slope of a line that lies on the following points.
(-8, 5) and (2,5)
0
400
Name two other names for "b" in y=mx+b.
y-intercept, initial value, initial fee, starting value
400
What is the slope and what does it represent in this situation?
# of deposits balance ($)
0 50
1 150
2 250
$100 per deposit
500
What is the slope of this line?
y + 3x = 7
-3
500
The slope of a line that passes through the points (3,2) and (3,4).
undefined
500
Find the slope of a line that lies on the following points.
(4,-9) and the origin
-9/4
500
A holiday meal costs $12.50 a person plus a delivery fee of $30. Write an equation that represents the amount a holiday meal costs, including delivery, for x people?
y = 12.50x +30
500
What does the y-intercept represent in this situation?
# of deposits balance ($)
0 50
1 150
2 250
an initial balance of $50