Finding Slope of Two Points
What is the slope of the line that contains the points (-6,1) and (4,-4)?
-1/2
What is this equation in slope intercept form x-y=3?
y=x-3
In slope-intercept form, what is the equation of the line that has a slope of -5 and a y-intercept of 14.
y=-5x+14
You plan to go snowboarding this weekend in Pennsylvania. The resort charges $15.75 per hour in addition to a $25 deposit to rent a snowboard. Write and solve linear equation to find the total cost to rent the snowboard from 8:30-12:30.
y=15.75x+25
$88
The start up cost to join eTunes music is $7.95 plus $0.95 per song downloaded. If Will spent $26, write and solve a linear equation to find how many songs he downloaded.
y = 0.95x + 7.95
19 songs
What is the slope of the line that contains the points (13,-2) and (3,-2)?
0
What is this equation in slope intercept form x+2y=-2?
y=-1/2x-1
Write the equation of the line that passes through the point (2,-1) and has a slope of -3?
y=-3x+5
When Brandon went bowling, it cost $4.95 per game, plus a one-time fee to rent the shoes of $5. Brandon played 5 games. How much does he have to pay?
y=4.95x+5
$29.75
At a pet store, it costs $5 to wash a cat and $7.50 to wash a dog. Last week, the store made $60 from washing dogs and cats. If 6 cats were washed and, write and solve a linear equation to find how many dogs were washed.
5x + 7.50y = 60
4 dogs were washed
What is the slope of the line whose equation is 2y=3x+4?
3/2
What is this equation in slope intercept form 4x+3y=6?
y=-4/3x + 2
In slope-intercept form, what is the equation of the graph that goes through (0,-3) & (2,1):
y=2x-3
Brielle's piggy bank has all nickels and dimes. The total value of the money in her piggy bank in $7.80. If Brielle has 66 nickels, write and solve a linear equation to find the number of dimes she has.
.05x + .10y=7.80
45 dimes
Keisha is catering a luncheon. She has $30 to spend on a mixture of Cheddar and Swiss cheeses. Cheddar costs $3per pound and Swiss is $5 per pound. Write and solve the equation to see how much cheddar cheese she can buy if she buys 3 pounds of swiss.
30=3x + 5y
5 pounds of cheddar
What is the slope of the line x-y=3?
1
What is this equation in slope intercept form 10x+4y=-20?
y=-5/2x-5
In slope-intercept form, what is the equation of the line that passes through the points (4,4) and (5,-2).
y=-6x+28
As the student council treasurer, you prepare the budget for your class rafting trip. Each large raft cost $100 to rent and each small raft costs $40 to rent. You have $1600 to spend. If you rent 12 large rafts, write and solve a linear equation to find the number of small rafts you can rent.
100x + 40y=1600
10 small rafts
Gianna wants to buy a new computer for $840. She is considering two payment plans that require weekly payments. Which plan will pay for the computer faster? Write and solve a linear equation for each.
Plan A) $180 down and $60 per week payments
Plan b) $0 down and $70 per week payments
Plan A) y=60x+180 11 weeks to payoff
Plan B) y=70x 12 weeks to payoff
Plan A is faster to payoff.
What is the slope of the equation below in slope-intercept form: y-6=-10(x+3)
-10
What is this equation in slope intercept form x-3y=15?
y=1/3x-5
In slope-intercept form, what is the equation of the line with a slope of -4 and passes through the point (2,5).
y=-4x+13
It costs $350 to rent a room for a party. You also want to hire a caterer. The caterer charges $8.75 per person. Write and solve a linear equation to find the total cost for inviting 50 people to the party.
y=8.75x+350
$467.50
For a new customer, a video store charges $10 for a rental card plus $2 per movie. Write and solve a linear equation to find the cost for a new customer to rent 6 movies.
y = 2x + 10
$22