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Slope-Intercept form
Standard Form
Point-Slope Form
Word Problems
Miscellaneous
100
Give the equation with a slope of -4 and a y-intercept of (0,3)
What is y=-4x+3
100
What are the x and y intercepts of the equation 2x+3y=6?
What is (3,0) and (0,2).
100
Write the equation of a line in point slope form with a slope of -2 that goes thorough the point (2,3)
What is y-3=-2(x-2)
100
To rent a tour bus for the day, it costs a flat rate of $200, plus $20 per person. Write an equation representing the scenario. If the total cost was $620, how many people went on the tour
The equation is y=20x+200. 21 people went on the tour.
100
Find the slope of the points (2,3) and (4, 6)
What is m=3/2
200
What is the equation, in slope-intercept form, of the graph shown? (Slide 1)
What is y=2x+3
200
Sketch a graph of the equation 7x+2y=28.
The equation should go through the points (4,0) and (0,14) (Slide 2)
200
Write an equation of the graph shown in point-slope form. (Slide 4)
What is y-3=-(x+2) or y+1=-(x-2)
200
The store at which Andy usually shops is having a sale. Roast beef costs $4 a pound and shrimp costs $10 a pound. Andy wants to spend a total of $96. Write an equation based on this scenario. Suppose Andy buys 4 lbs of shrimp, how many lbs of roast beef will Andy need to buy?
The equation is 4x+10y=96. Andy will need to buy 14 lbs of shrimp
200
In direct variation the slope is called the______.
What is the 'constant of variation'
300
Find the equation of the line that goes through the points (2,3) and (4,4)
What is y=1/2x+2
300
Write an equation in standard form of the line that passes through the points (3,0) and (0,5)
What is 5x+3y=15
300
Write the equation y-2=4(x-3) in slope-intercept form.
What is y=4x-10
300
An airplane 30,000 feet above the ground begins descending at the rate of 2000 feet per minute. Assume the plane continues at the same rate of descent. Write an equation to represent the scenario. After how many minutes will the plane touch the ground
The equation is y=-2000x+30000. The plane will reach the ground in 15 minutes
300
Write the equation y-2=3(x+5) in standard form.
What is 3x-y=-17
400
Write an equation of a line parallel to y=2/3x+5 and goes through the point (3,4)
What is y=2/3x+2
400
Write an equation in standard form of the line shown. (Slide 3)
What is 8x+4y=-24
400
Sketch the equation y-5=2/3(x+2)
The graph should have a slope of 2/3 and go through the point (-2,5). (Slide 5)
400
Marty is spending money at the average rate of $3 per day. After 14 days he has $68 left. The amount left depends on the number of days that have passed. Write an equation to represent this scenario. How much money did Marty start with?
The equation is y-68=-3(x-14). Marty started with $110
400
Give the equations for the three forms of linear equation.
Slope-Intercept Form- y=mx+b. Point-Slope form- y-y1=m(x-x1). Standard Form- Ax+By=C
500
Write an equation that is perpindicular to the line y=4/3x+7 and goes through the point (2,5).
What is y=-3/4x+13/2
500
The Dodd Middle School boys basketball team scored 72 points in their last game. Their score was a combination was 2 pointers and 3 pointers. Given the equation 2x+3y=72. Give the x and y-intercepts and determine real life meaning of each intercept.
X-intercept-(36,0) If no 3 pointers were scored, then the team would have scored 36 2 pointers. Y-intercept -(0,24) If no 2 pointers were scored, then the team would have scored 24 3 pointers.
500
Write an equation in point-slope form that goes through the points (2,3) and (4,4)
What is y-3=1/2(x-2) or y-4=1/2(x-4)
500
Kathy is savingt money for a trip and saves the same amount each month. After 3 months, she still needs to save $4200. After 7 months, she still needs $2800. Write an equation to represent the scenario. How much money does Kathy intend to save in total?
The equation is y=-350x+5250. Kathy intends to save $5250
500
Describe when each form of a linear eqaution is useful. I.E explain what you need to know in order to form each equation.
Answers may vary. But... these are some good answers. Slope Intercept Form-Good when given a slope and y- intercept or 2 points. Standard Form-Good when given both intercepts. Point-Slope Form- Good when given a point and the slope.