Identifying Linear Functions
Using Intercepts
Slope
Slope intercept form
Parallel and Perpendicular Lines
Word Problems
100
Does the graph represent a linear function?
No, it does not pass the VLT.
100
Write the equation in slope-intercept form, then determine the y-intercept.
10-2y=5x
y=-5/2x+5
(0, 5)
100
What is the slope of the line?
-3/4
100
Identify the slope and y-intercept of the equation
2x + 3y = 9.
The slope is -2/3.
The y-intercept is 3.
100
Determine if the lines are parallel, perpendicular, or neither:
y=1/2x+3
y=-1/2x-4
Neither
100
Jimmy is driving home from a vacation. His car is on cruise control so he maintains a constant speed. After 3 hours of driving, he is 740 km from home. After 6 hours, he is 461 km from home. What is the rate of change?
-93 km per hour
200
Does the table represent a linear function?
Yes, it has a constant rate of change.
200
Find the x intercept:
2x- 4y=8
(4,0)
200
Find the slope of a line that passes through the points (0, 8) and (0, -12).
Undefined
200
Write the equation in slope intercept form: slope=0, y-intercept = -5.
y=-5
200
Determine if the lines are parallel, perpendicular, or neither:
y=2/3x+8
3x+2y=-12
Perpendicular
200
An auto repair shop charges a $50 service fee, plus $75 per hour. Write an equation and determine how much it will cost for 3 hours of work.
y=75x+50
$275
300
Does the equation represents a linear function? **Hint, can it be written in slope-intercept form?
3x-6y=18
Yes. It can be written as
y=1/2x-3
300
Find the x and y intercepts of
3x+4y=24
(8,0) and (0,6)
300
Find the slope of a line through the points (4,-2) and (-1,2).
What is -4/5
300
Write the equation of a line with a slope of 4 that passes through the point (2,5).
y=4x-3
300
Determine if the lines are parallel, perpendicular, or neither:
x= 4
y= 4
Perpendicular
300
A candle is 6 inches tall and burns at a rate of 1/2 inch per hour. Write an equation and determine the height of the candle after it burns for 3 hours.
y=-1/2x+6
4.5 inches
400
Tell whether the set of ordered pairs satisfies a linear function. If yes, give the constant rate of change. If no, explain why not.
(2,4), (5,3) (8,2), (11,1)
Yes, because it has a constant rate of change of -1/3.
400
Find the x and y intercepts of
3x - 2y=12
(4,0) and (0, -6)
400
Find the slope from the table.
2/3
400
Write an equation in slope-intercept form to represent the graph.
y = -2x+82
400
Determine if the lines are parallel, perpendicular, or neither:
3x+4y=8
-6x=8y-12
Parallel
400
The cost for 7 dance lessons is $82. The cost for 11 lessons is $122. Write a linear equation in slope-intercept form that can be used to determine the total cost C for L lessons.
C=10L+12
500
Does the table represent a linear function?
If yes, find the constant rate of change. If no, explain why not.
No, not a constant rate of change.
500
What do the y-intercepts represent for this graph?
The y-intercept represents the starting temperature of the tank. It started at 82 degrees F.
500
Find the slope of the equation: 6x + 5y=30
-6/5
500
Write the equation in slope intercept form and give the y-intercept: 8x+2y=8
y=-4x+4
y-intercept: (0,4)
500
Determine if the lines are parallel, perpendicular, or neither:
y-2=3(x+1)
6x+2y=8
Neither
500
A pool has 18,000 gal of water in it that needs to be drained for the winter. If the water drains at a rate of 25 gal per min., how many hours will it take for the pool to be empty?
12 hours