Writing Linear Equations

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Show your work for each problem.

1.
What is the equation of a line with slope and y-intercept ?
1. a)
2. b)
3. c)
4. d)
2.
A line has slope and passes through the origin. What is the equation? Write in the form .
3.
Which equation represents a line with slope and y-intercept ?
1. a)
2. b)
3. c)
4. d)
4.
Calculate the slope of the line through and .
5.
Write the equation of the line with slope passing through the point .
6.
What is the slope of the line through the points and ?
1. a)
2. b)
3. c)
4. d)
7.
Write the equation of the line through and in slope-intercept form.
8.
A gym charges 20 euros per month plus 5 euros per class. Write the equation for total monthly cost in terms of classes . (Write as C = ...)
9.
A table shows: when , ; when , . What is the equation?
1. a)
2. b)
3. c)
4. d)
10.
Write the equation of the line through and .
11.
Write the equation of the line with slope passing through . Give your answer in slope-intercept form.
12.
Write the equation of the line through and .
13.
A car rental costs 30 euros per day plus 0.20 euros per kilometer. Which equation represents the total cost for days and kilometers?
1. a)
2. b)
3. c)
4. d)
14.
A water tank has 200 liters and drains at 15 liters per minute. Write the equation for the amount of water after minutes, and find when the tank will be empty.
15.
Line passes through and . What is the y-intercept of line ?
16.
Write the equation of a horizontal line passing through .