| Slope between two points | Slope from a table | Intercepts from an equation | Intercepts from a table | Linear Equations word problems : |
|---|---|---|---|---|
|
15/4
What is the slope of the line through (-5,-10) and (-1,5)?
|
6
x : 15 17 19 21
y : -10 , 2 14 26 |
y-intercept: (0,-7)
x-intercept: (1.4,0) or (7/5,0)
y − 3 = 5 ( x − 2 )
|
y-intercept : (0,32)
This table gives a few (x,y) pairs of a line in the coordinate plane.
x y 32 22 48 17 64 12 What is the y-intercept of the line? |
10 minutes
Julia got a delivery order. She took some time to get ready, and then she rode her bicycle at a constant speed.
The table compares the distance Julia made (in kilometers) and the time since she got the order (in minutes). Distance (kilometers) Time (minutes) 6 46 8 58 10 70 How long did it take Julia to get ready for a delivery? |
|
9
What is the slope of the line through (-7,-2) and (-6,7)?
|
6
x : 12 13 14 15
y : -4, 2 8 14 |
y-intercept: (0,2.2) or (11/5)
x-intercept: (-1.375,0) or (-11/8)
8x − 5y = −11
|
y-intercept : (0,2)
This table gives a few (x,y) pairs of a line in the coordinate plane.
x y -28 -54 -21 -40 -14 -26 What is the y-intercept of the line? |
$0.13
The price of a climbing trip to Mount Kilimanjaro includes an initial fee plus a constant fee per meter.
The table compares the total distance of a trip (in meters) and the price of the trip (in dollars). Distance (meters) Price (dollars) 70 114.1 100 118 130 121.90 What is the additional fee for each meter climbed? |
|
-3/2
What is the slope of the line (1,-1) and (5,-7)
|
-5
x : 13 14 15 16
y : 11 6 1 -4 |
y-intercept: (0,7)
x-intercept: (-1.375,0) or (7/4)
y = 4x + 7
|
x-intercept : (-5,0)
This table gives a few (x,y)pairs of a line in the coordinate plane.
x y 33 -22 52 -33 71 -44 What is the x-intercept of the line? |
6 meters
The ground floor of a tower has a very high ceiling, and the residential floors above it each have a constant, smaller, height.
The table compares the floor number and the height of its ceiling above the ground (in meters). The ground floor is floor 000, and floors 111 and up are the residential floors. Floor Height (meters above ground) 14 50.8 21 73.2 28 95.6 What is the height of the ground floor? |
|
-5
What is the slope of the line through (-9,6) and (-6,-9)?
|
-2/5
x : 31 36 41 46
y : 10 8 6 4 |
y-intercept: (0,26)
x-intercept: (-6.5,0) or (13/2)
y − 6 = 4 ( x + 5 )
|
x-intercept : (22,0)
This table gives a few (x,y) pairs of a line in the coordinate plane.
x y -38 40 -23 30 -8 20 What is the x-intercept of the line? |
$0.25
Ying Ying wants to buy some petunias.
The table compares the number of petunias Ying Ying could buy and the money that would remain in her wallet (in dollars). Petunias Money (dollars) 2 6.50 8 5.00 14 3.50 What is the price of one petunia? |
|
12/7
What is the slope of the line through (-7,-8) and (0,4)?
|
3/4
x : 9 13 17 21
y : -24, -21, -18, -15 |
y-intercept: (0,-7/3)
x-intercept: (7/6,0)
−6x + 3y = −7
|
x-intercept : (-14,0)
This table gives a few (x,y) pairs of a line in the coordinate plane.
x y -94 24 -74 18 -54 12 What is the x-intercept of the line? |
18 liters per minute
Isabella filled her pool with water at a constant rate.
The table compares the remaining volume of water left to fill the pool (in liters) and the time since Isabella started filling the pool (in minutes). Time (minutes) Water (liters) 2 184 7 94 12 4 How fast did Isabella fill her pool? |
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