Slope of Graphs
Plot the points (0, 3) and (4, 1). Find the slope of the line.
m = -2/4 = -1/2
X Y
-10 10
-5 7
0 4
m = -3/5
Graph:
y = 1/2x - 2
Put a point on -2 of the y-axis.
Rise 1 (up).
Run 2 (right).
Emma prepares 2 kilograms of dough every hour she is at the bakery. Write an equation that show the number of kilograms of dough she makes based on the number of hours she's been at the bakery.
y = 2x + 0 or y = 2x
What is the largest island in the world?
Greenland
Plot the points (-3, 0) and (1, 1). Find the slope of the line.
m = 1/4
X Y
-3 -6
0 0
3 6
m = 6/3 = 2
Graph:
y = -4/5x + 6
Put a point on 6 on the y-axis.
Rise -4 (down).
Run 5 (right).
Craig is hosting a picnic lunch. It is $3 for a ticket, plus $1 for each friend you bring. Write an equation to show how much entrance to the picnic will cost.
y = 1x + 3 or y = x + 3
Name the largest freshwater lake in the world.
Lake Superior
Plot the points (-3, 3) and (0, 1). Find the slope of the line.
m = -2/3
X Y
2 1
2 2
2 3
m = 1/0 = undefined
Graph:
y = 3x + 5
Put a point on 5 on the y-axis.
Rise 3 (up).
Run 1 (right).
Tandi has already written 1 page of her essay. She can write 1 page for each additional hour spent working on the essay. Write an equation representing how much of her essay Tandi can write.
y = 1x + 1 or y = x + 1
What is another word for lexicon?
Dictionary
Plot the points (0, -4) and (6, 0). Find the slope of the line.
m = 4/6 = 2/3
X Y
0 1
1 1
2 1
m = 0/1 = 0
Graph:
y = -6x - 1
Put a point on -1 on the y-axis.
Rise -6 (down).
Run 1 (right).
Bryan already has 9 plants in his yard. He can grow 3 plants with each seed packet he uses. Write an equation to represent the number of plants he could have based on the number of seed packets used.
y = 3x + 9
What word goes before theory, beans, and quartet?
String
Plot the points (1, 3) and (5, 3). Find the slope of the line.
y = 0/4 = 0
X Y
2 5
4 8
6 1
m = 3/2
Graph:
y = 5x + 10
Put a point on 10 on the y-axis.
Rise 5 (up).
Run 1 (right).
OR you could rise -5 and run -1 if you don't have enough room to go 5 up!
A cab company charges $4 for a ride, plus $2 per mile driven. Write an equation to show how much money a ride in the cab would cost.
y = 2x + 4
Where would you find the Sea of Tranquility?
The Moon.