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Mixed Bag
Parallel and Perpendicular Lines
Slope Intercept Form
Standard Form
Vocabulary & Misc.
100
Write the point-slope form of a line that goes through (-7, 6) and has a slope of 9.
y - 6 = 9(x + 7)
100
Fill in the blank. Parallel lines have the ________ slope. Perpendicular lines have ______________ _____________ slopes.
What is same slope and opposite reciprocal slopes?
100
Write in slope intercept form: 3x − 2y = −16
What is y=(3/2)x + 8
100
Put this equation in standard form. y = (3/2)x + 8
What is 3x - 2y = -16
100
Can a linear equation make a parabola?
No, parabolas are not linear.
200
Write the standard form of a line that goes through (-2, 5) and m = -4
4x + y = -3
200
Write the equation of the line parallel to y=x-2 and passing through (1,-2)
What is y=x-3?
200
Write the equation with a slope of 6 and y-intercept of -8.
What is y=6x-8?
200
Write the standard form of the equation with an x intercept of 8 and a y intercept of 2. (think ordered pairs!)
x+4y=8
200
A person who weighs 220 lbs goes on a diet hoping to lose 5 lbs per week. a) Write a linear model that represents the person’s weight after w weeks. b) If the person is successful in his diet, how much will he weigh after 10 weeks?
a) y = -5x + 220 b) After 10 weeks, he will weight 180 lbs
300
Suppose that the water level of a river is 34 feet and that it is receding at a rate of 0.5 foot per day. Write an equation for the water level, L, after d days. In how many days will the water level be 26 feet?
L = 34 - .5d it will be 26 feet in 16 days.
300
Write the equation of the line parallel to y=(-2/3)x+4 and passing through (-2,4).
What is y=(-2/3)x+2 and (2/3)?
300
If y varies directly with x, what will b be?
0 (because it's a direct variation)
300
Write the standard form of the equation through: (2, −4), with slope = −1
x + y = -2
300
In 1980 the average price of a home in Brainerd County was $97,000. By 1986 the average price of a home was $109,000. Write a linear model for the price of a home, P, in Brainerd County as a function of the year, t. Let t = 0 correspond to 1980.
P = 2000t + 97,000
400
Seth’s father is thinking of buying his son a six-month movie pass for $40. With the pass, matinees cost $1.00. If matinees are normally $3.50 each, how many times must Seth attend in order for it to benefit his father to buy the pass?
He will need to go to the movies more than 16 times for the pass to save him money.
400
Write the equation of the line that is perpendicular to y=-x+2 and passing trough (3,-1).
What is y=x-4?
400
Write the equation of a line in slope-intercept form that has an x-intercept of -4 and a y-intercept of 3.
y = (3/4)x + 3
400
Write the equation in standard form of a line that goes through: (3, 5), and has a slope of (5/3)
5x - 3y = 0
400
A real estate sales agent receives a salary of $250 per week plus a commission of 2% of sales. Write an equation that gives the weekly income y in terms of sales x
y = .02x + 250 or y = (1/50)x + 250
500
A water tank already contains 55 gallons of water when Baxter begins to fill it. Water flows into the tank at a rate of 8 gallons per minute. Write a linear equation to model this situation. Find the volume of water in the tank 25 minutes after Baxter begins filling the tank.
y = 8x + 55 In 25 minutes, it will have 255 gallons of water in it.
500
Write the equation of the line perpendicular to y=(2/5)x-9 and passing through (-7,5).
What is y=(-5/2)x+22.5? Write as a fraction on your quiz!
500
Write the slope-intercept form of a line that is parallel to y = (1/3)x + 3 and has an x-intercept of 2
y = (1/3)x - (2/3)
500
Write the standard form of a line that goes through (2, −4) and is parallel to y = -x + 7
x + y = -2
500
What is the total number of students + employees at Mason Prep?
376 (points given if your answer is in the 370s. No points deducted for wrong answers on this one!)