Parallel and Perpendicular Lines
What is the slope of a line parallel to y=-12x + 1?
m = - 12
Write the equation of a line that has a slope of 2 and a y intercept of -3
y=2x - 3
Penelope is giving away her stuffed animal collection. She currently has 36 plush treasures, and she is giving them away at a rate of 3 toys every 2 weeks. Write an equation in y intercept form that expresses this.
y = -3/2x + 36
Find the slope between (-3, -8) and (5, -1)
m = 7/8
Are these Parallel, Perpendicular, or Neither:
y = 5x + 4 and -5x + y = 4
Parallel
Write the equation of a line that passes through the point (6, 9) and has a slope of -7. Your final answer should be in y intercept form.
y = -7x+51
Hershey the dog has decided to go on a hike. After 10 minutes of hiking, he is at an elevation of 830 feet. After 20 minutes of hiking, he is at an elevation of 830 feet. Write an equation that expresses this information.
y = 830
A scuba diver is 30 feet below the surface of the water 10 seconds after he entered the water and 100 feet below the surface after 40 seconds. What is the scuba divers rate of change?
-2 1/3 feet per second
Are these Parallel, Perpendicular, or Neither:
3x + 2y = 8 and y = -2/3x + 4.
Neither
Write the equation of the line that passes through points (1, 4) and has an undefined slope
x = 1
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. How long will it take to have a volume of 131 gallons?
9.5 minutes
Rewrite in standard form and identify A, B and C:
y = -2/3x - 11
2x + 3y = -33
a=2, b = 3 and c = -33
What is an equation of a line perpendicular to 24x + 3y = 21
Sample answer:
y = 1/8x + 7
Write the equation of the line that passes through points (1, 4) and (-5, 6) in y intercept form.
y=-1/3x + 13/3
A roller skating rink offers a special rate for birthday parties. On the same day, a party for 10 skaters cost $107 and a party for 15 skaters cost $137. How much does it cost per person and how much is the fee for the rink, regardless of how many people you have?
$47 and $6 per person
Do the points (8, 2), (18, -6) and (12, -1) lie on the same line?
no
What is an equation of a line that is parallel to one that goes through (4, 2) and (3, 6)
sample answer: y = -4x + 1
Write an equation in standard form that satisfies the following requirements: It has a slope of -1/2 and has a y intercept of 8.
x + 2y = 16
Benny has a weekend job and is adding to his bank account (which has money he saved from the summer). After 3 weeks, he has $650 in his bank account. After 9 weeks, he has $830 in his account. He earns the same amount each month. How much did he have saved before he began adding money?
$560
(0, y) and (2 , 5) are on the same line with a slope of 2. What is y?
y = 1