Slopes
Find the slope of the following equation:
6y + 9x - 12 = 0
Rearranged equation: y = 9/6x + 2
Answer: -3/2
What is the Y-Intercept of this equation?
y = 45x + 30
Answer: 30
Linear or Non-Linear?
y = 3x + 6
What is the equation of this line when put into proper y = mx + b format?
2y - 3x + 10 = 0
Answer:
y = 3/2x - 5
Bob has $100 in his bank account. If he earns $4 every day how much money will he have after two weeks?
Answer: He will have $156 dollars after two weeks
Equation: y = 4x + 100
2 weeks = 14 days
y = 4(14) + 100
y = 56 + 100
y= 156
What is the slope of a line that passes through the points (6,3) and (8,9)?
Answer: 3/1 or 3
m = Y2 - Y1 / X2 - X1
m = 9-3 / 8-6
m = 6/2
m = 3
What is the Y-Intercept?
x | y
0 | 7
2 | 10
4 | 13
6 | 16
8 | 19
Answer: 7
Linear or Non-Linear?
y = -3/2x
Answer: Linear
What is the equation of this chart?
x | y
0 | -3
1 | -6
2 | -9
3 | -12
4 | -15
Answer: y = -3x - 3
Shoes are $100. Every customization is $4. How much will you have to pay if you get 5 customizations on one pair of shoes?
Answer: You will have to pay $120
Equation: y = 4x + 100
y = 4(5) + 100
y = 20 + 100
y = 120
Find the slope in the following equation:
13x - 4y = -20
Answer: 13/4
Rearranged equation:
y = 13/4x + 5
What is the Y-Intercept of this equation?
y = 5x
Answer: 0
Linear or Non-Linear?
x | y
0 | 12
2 | 18
4 | 24
6 | 30
8 | 36
Answer: Linear
What is the equation of a line that has a Y-Intercept of -3 and a slope of 2?
Answer: y = 2x - 3
Ella starts practice with 100 rugby balls. Everyday she loses 2 balls. How many will she have after one week?
Answer: She will have 86 balls left
Equation: y = -2x + 100
1 week = 7 days
y = -2(7) + 100
y = -14 + 100
y = 86
What is the slope of a line that passes through the points (3,2) and (8,5)?
Answer: 3/5
m = Y2 - Y1 / X2 - X1
m = 5-2 / 8-3
m = 3/5
What is the Y-Intercept of this equation?
-6x + 19y - 19 = 0
Answer: y = 6/19x + 1
Linear or Non-Linear?
y = x2 + 13
Answer: Non-Linear
What is the equation of this line when put into proper y = mx + b format?
-12x + 3y - 3 = 0
Answer:
y = 4x + 1
A jar has 100mL of water. Every minute, 2mL of water evaporates. How much water will be left after 13 minutes?
Answer: 74mL of water will be left after 13 minutes
Equation: y = -2x + 100
y = -2(13) + 100
y = -26 + 100
y = 74
What is the slope in this equation?
y = 2x + 16
What is the Y-Intercept of this equation?
y = 2x + 7
Answer: 7
Linear or Non-Linear?
x | y
0 | 2
1 | 6
2 | 3
3 | 8
4 | 10
Answer: Non-Linear
What is the equation of this line when put into proper y = mx + b format?
2y + 7x = 14
Answer: y = -7/2x + 7
To rent a car a company has a flat rate of $100. $4 is charged per day. How much will it cost to rent the car for 17 days?
Answer: It will cost $168
Equation: y = 4x + 100
y = 4(17) + 100
y = 68 + 100
y= 168