Slope-Intercept Form
Point-Slope Form
Parallel Lines
Perpendicular Lines
Word Problems
100
In slope-intercept form, the equation of the line that has a slope of -5 and a y-intercept of 14.
What is y=-5x+14 ?
100
In point-slope form, the equation of the line that has a slope of -2 and passes through the point (3,24).
What is y-24=-2(x-3) ?
100
Find the slope of a line that is parallel to the line y=3x + 8.
What is 3?
100
Find the slope of a line which is perpendicular to the line y = (1/4)x + 7.
What is m = -4?
100
Your family spends $30 for tickets to an aquarium and $3 per hour for parking. Write an equation that gives the total cost of your visit as a function of the number of hours you are there.
What is C=3t + 30?
200
Write the equation of a line with a slope of 2/3 and a y-intercept of -9.
What is y=2/3x - 9
200
In point-slope form, the equation of the line that has a slope of (-1/3) and passes through the point (-14,-21).
What is y+21=(-1/3)(x+14) ?
200
Is the line with the equation y = (2/10)x + 1 parallel to the line with the equation y = (1/5)x + 7? Explain why.
What is Yes; they have the same slopes when fully simplified?
200
Find the equation of a line which is perpendicular to the line y=-x+2 and passes through the point (0,5).
What is y=x+5
200
The initial fee to have a website set up using a server is $48. It costs $44 per month to maintain the website. a. Write an equation that gives the total cost of setting up and maintaining a website as a function of the number of months it is maintained. b. Find the total cost of setting up and maintaining the website for 6 months.
a. C = 44t + 48 b. The total cost of setting up and maintaining the website for 6 months is $312.
300
In slope-intercept form, the equation of the line that passes through the points (4,4) and (5,-2).
What is y=-6x+28 ?
300
In point-slope form, the equation of the line that passes through the points (2,8) and (-3,-1).
What is y-8=2(x-2) or y+1=2(x+3)?
300
Find the equation of a line which is parallel to the line y=4x + 6 and passes through the point (0,-2).
What is y=4x - 2?
300
Find the equation of a line which is perpendicular to the line y = 2x + 3 and passes through the point (-6,-2).
What is y= -(1/2)x - 5
300
A camera shop charges $3.99 for an enlargement of a photograph. Enlargements can be delivered for a charge of $1.49 per order. a. Write an equation that gives the total cost of an order with delivery as a function of the number of enlargements. b. Find the total cost of ordering 8 photograph enlargements with delivery.
a. C = $3.99e + $1.49 b. The total cost of ordering 8 photograph enlargements with delivery is $33.41.
400
The equation below in slope-intercept form: y-6=-10(x+3)
What is y=-10x - 24
400
In point-slope form, passes through the points (3,2) and (-4, 37).
What is y-2=-5(x-3) or y-37=-5(x+4)?
400
Find an equation of a line which is parallel to the line 3x + 2y = 4 and passes through the point (-2,2).
What is y = -(3/2)x - 1?
400
Find the equation of a line which is perpendicular to the line 2x+4y=1 and passes through the point (-3,-8).
What is y=2x-2
400
You are taking a Tae Kwon Do class that costs $15 a month. In addition, you needed to purchase a uniform. You paid a total of $108 after 6 months. a. Write an equation that gives the total cost (in dollars) as a function of the length of time you have been taking classes (in months). b. Find the total cost after 9 months.
a. C = 15t + 18 b. The total cost after 9 months is $153.
500
Write an equation of the line that passes through the points (-6, -1) and (0,3).
What is y=2/3x + 3
500
In point-slope form, the equation of the line that passes through the points (-4, 6) and (12, 2).
What is y-6=-1/4(x+4) or y-2=-1/4(x-12)?
500
Find an equation of a line which is parallel to the line y-3=3(x-1) and passes through the point (2, -6).
What is y = 3x - 12?
500
Find the equation of a line which is perpendicular to the line y-3=4(x-1) and passes through the point (8, -6).
What is y=-(1/4)x - 4
500
Four years after a maple tree was planted, its height was 9 feet. Eight years after it was planted, its height was 12 feet. What is the growth rate of the maple tree? What was its height when it was planted? Write an equation which models the height of the tree as a function of the years since it was planted.
H = (3/4)t + 6 The growth rate is 3 feet per year and the tree was 6 feet tall when it was planted.
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