Slopes
What is the slope between (1,2) & (3,4) ?
m = 1
What are the slope and y-intercept of this equation?
y = 4x + 7
slope = 4
y-intercept = 7
What are the x and y intercepts of the linear equation
y = x + 4 ?
x-intercept = -4
y-intercept = 4
What are the A, B, and C values in this standard form equation: 5x - 6y = 7
A=5, B = -6, C=7
Joe starts with $105 and saves $5 per week. The function f(x) = 105 + 5x represents the amount of money he has after x weeks. How much money will Joe have after 8 weeks?
$145
What is the slope between (6,7) & (8,16)
m = 9/2 or 4.5
What are the slope and y-intercept of this equation?
y= -3x - 10
slope = -3
y-intercept = -10
What are the x and y intercepts of the linear equation
y = 3x - 9 ?
x-intercept: 3
y-intercept: -9
Write a linear equation in standard form, where A=3, B=10, and C=-122
3x + 10y = -122
Lisa is selling handmade jewelry. The materials cost $60, and she sells each piece for $20. How many pieces does she have to sell to break even?
3 pieces of jewelery
What is the slope between (-1,1) & (6,11)
m = 10/7
Write a linear equation with a slope of 1/2 and a y-intercept of -18
y = (1/2)x - 18
What are the x and y intercepts of the linear equation
y = 7x - 11 ?
x-intercept: 11/7
y-intercept: -11
Put this equation into standard form, using an inverse operation: 2y = -4x + 6
4x + 2y = 6
A tennis club charges $100 to join the club and $10 for every hour using the courts.
The function f(x) = 10x +100 represents the total cost to play tennis for x hours.
How much would it cost to play for 4 hours?
$140
What is the slope between (-3,-4) & (1,12)
m = 4
Write a linear equation with a slope of -1/7 and a y-intercept of 172
y = (-1/7)x + 172
What are the x and y intercepts of the linear equation
2x + 3y = 4 ?
x-intercept: 2
y-intercept: 4/3
Put this equation into standard form, using an inverse operation: 5y = 8x - 12
-8x + 5y = 12
A tennis club charges $100 to join the club and $10 for every hour using the courts.
The function f(x) = 10x +100 represents the total cost to play tennis for x hours.
If you have $190 for tennis, how many hours can you play?
9 hours
What is the slope between (-9,-10) & (-5,-4)
m = 3/2 or 1.5
Put this equation in slope-intercept form, using an inverse operation: 2y - 10x = 24
y = 5x + 12
What are the x and y intercepts of the linear equation 10x - 11y = 13
x-intercept: 13/10
y-intercept: -13/11
Find the x and y intercepts of this linear equation in standard form: 3x + 6y = 12
x-intercept = 4
y-intercept = 2
Kyle is a shoemaker. He spends $180 on materials and tools. He sells each pair of shoes for $30.
The function f(x) = 30x - 180 represents the amount of money he'll have after selling x pairs of shoes.
How many shoes does he have to sell to break even?
6 pairs of shoes
(x=6)