Calculate Slope
Math in Words
Slope Intercept Form
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Random Trivia About Linear Equations
100
(0,10) and (5, -5)
What is -3?
100
The balance in Howard’s savings account increases at a constant rate. The balance 2 months after Howard opens the account is $250. It is $625 after 5 months.
What was the change in the balance of Howard’s savings account per month?
The balance increases $125 a month
100
Given: y = -1/3(x+6)-12
Find:
m=
b=
m = -1/3
b = -14
100
Jacob, an insurance agent, earns $250 plus 10% commission per policy sold. The equation below represents his salary.
y = 0.10x + 250
What does the y-intercept represent in this situation?
The y-intercept represents Jacob's starting salary.
100
How is slope calculated on a graph?
rise over run
rise/run
200
(5, 7) and (3, 6)
What is 1/2?
200
Write an explicit formula for the sequence:
7, 13, 19, 25, . . .
an = 7 + (n-1)(6)
200
What is the slope-intercept form of the equation:
5x-6y=36?
y = 5/6x - 6
200
Max is putting $30 each week into a savings account. He started with $100 in the account. The equation below represents this situation.
y=30x+100
What does the y-intercept represent in this situation?
The y-intercept represents the amount of money that Max's account started with.
200
What is the slope formula?
y2-y1/x2-x1
300
(2, 5) and (8, 1)
What is -2/3?
300
A candle burns at a constant rate once it is lit. The height of the candle is 250 millimeters 5 minutes after being lit. It is 230 millimeters after 25 minutes after being lit.
What is the change in the height of the candle per minute?
The candle decreases 1 ml per minute
300
What is the slope?
y = 3x - 5
m = 3
300
Max is putting $30 each week into a savings account. He started with $100 in the account. The equation below represents this situation.
y=30x+100
What does the slope represent in this situation?
The slope is the rate at which Max is putting money into his account.
300
What is point-slope form of a line?
y = m(x - x1) + y1
400
(-5, 5) and (9, -10)
- 15/14
400
The speeds of Car A and Car B are illustrated in the table and graph. Which car is moving at a greater speed?
Car A at 70 mph
400
What is the y intercept?
y = -3x - 7
b = -7
400
Cindy is 65 mph on her way home. She was 175 miles from home when she started her trip home. The equation below represents this situation.
y=65x+175
What does the y-intercept represent in this situation?
The y-intercept is the distance she was from home when she first headed home.
400
What is slope-intercept form of a line?
y = mx + b
500
(2,3) and (9,7)
What is 4/7?
500
A weather balloon ascends at a constant rate. The height of the balloon 8 minutes after beginning to ascend is 2,320 feet. The height 15 minutes after ascending is 4,350 feet.
What is the change in the elevation of the balloon per minute?
290 feet per minute
500
What equation has:
Slope: 1/2
Y - intercept: -3
y = 1/2x - 3
500
Cindy is 65 mph on her way home. She was 175 miles from home when she started her trip home. The equation below represents this situation.
y=65x+175
What does the slope represent in this situation?
The slope represents the rate at which Cindy is traveling.
500
What is another phrase that means "slope?"
rate of change