Parallel and Perpendicular
Line of Best Fit/Special Linear Equations
Word Problems
Linear Functions
Anything Goes
100
Slope of the line parallel to the line through (5,4) and (6,7)
What is 3?
100
The table shows the average number of gallons of milk a family drinks per week.
b. Predict the milk consumption in one week of a 7-member family. (Double points if you do both)
What is a) y = 0.89x - .09 and b) 6.14 or 6.15?
100
Ismael started the day with an irrigation pipe of 120 feet long. He used the equation L=15s + 120 to determine the total length of the pipe as new sections of pipe, s, were welded on to the end.
What is the slope of the line?
What does the slope represent in the context of the problem?
What is 15 feet for each section of pipe?
100
Find the equation of the line through point (2,4) with a slope of 2.
What is y = 2x?
100
Formula for slope.
What is \frac(y_2 - y_1)(x_2 - x_1)?
200
Slope of the line perpendicular to the line through (2,6) and (1,8)
What is 1/2? (Slope is originally -2)
200
Write an equation of a line given the following:
Passes through (3, -1) and is parallel to the line
x = 6.
What is x = 3?
200
Ricardo is draining his pool for the winter. There are 240 gallons in the pool and it is decreasing at a rate of 20 gallons per hours.
Write an equation to represent the relationship between the amount of water in the pool, y, and the number of hours the pool has been draining, x.
What is y = 240 - 20x?
200
Find the equation of the line with slope 5 and that goes through the point (4,2).
What is y = 5x - 18?
200
Point-slope form of an equation.
What is y - y_1 = m(x - x_1)?
300
Color of the line perpendicular to the red line. (Double points for the color of the line parallel)
What is blue? (What is green? for parallel)
300
The information in the table below shows average temperature in Northern Latitudes:
a. Find the line of best fit. (Round to nearest 100th place)
b. Predict the average temperature for a city with a latitude of 25 degrees. (Double points if you do both)
What is a) y = -1.06x + 92.31 and b) 65.8 or 65.81?
300
Steven is learning to scuba dive. The equation D = 20L + 15 represents the depth he can dive in feet, D, based on the number of lessons he has had, L.
How deep can Steven dive after he takes 13 lessons?
What is 275 feet?
300
Find the equation of the line that goes through (-2,1) and (-1,-3)
Hint: Find slope first and then use point-slope form to get you to slope-intercept form
What is y= -4x - 7?
300
h(n) = −2n^2 + 4; Find h(4)
What is h(4) = -28?
400
Slope of the line perpendicular to the line through (-4,-8) and (1,3)
What is -5/11? (Slope is originally 11/5)
400
Write an equation of a line given the following:
Passes through (-4, 3) and is perpendicular to the line
y = 8.
What is x = -4?
400
David works at the T-shirt shack selling tees. The equation y = 15x - 520 represents the profit that the T-shirt Shack makes for each t-shirt sold, where y is the total profit and x is the number of t-shirts sold.
How many t-shirts does the T-shrit Shack need to sell to make a profit of $140?
What is 44 t-shirts?
400
Find the equation of the line that goes through the following points: (2,1), (3,2), (4,3), and (5,4)
Hint: You only need to use two of the points so you pick which ones.
What is y = x - 1?
400
Solve for x: \frac{5}{4}x\ -\ 2\ =\ 28
What is x = 24?
500
Slope-intercept form of a line perpendicular to 2x + 3y = 18 and through the point (4, -3)
What is y = 3/2x + -9?
(Point-Slope form is y + 3 = 3/2(x - 4))
500
The table shows the average price per gallon of gas in Los Angeles, CA.
a. Find the line of best fit. (Round to nearest 100th place)
b. Predict the price per gallon of gas in 2015. (Double points if you do both)
What is a) y = .32x - 640.29 and b) $4.51 (with rounding) or $5.67 (without rounding)?
500
Alex paints faces at kids' birthday parties to earn extra money. The equation M = 2.50f +12 represents the relationship between the money she makes, M, and the number of faces she paints, f.
Alex wants to buy a new pair of Uggs that cost $119.50. How many faces does she need to paint?
What is 43 faces?
500
Find the equation of the line that goes through (-2,5) and (2,1)
What is y= -x + 3?
500
g(x) = 3x − 3; If g(x) = -21, find x.
What is x = -6?