Writing Linear Functions
X & Y Intercepts
Parallel & Perpendicular
Linear Functions Word Problems
Miscellaneous
100
Write a linear function with a slope of -9 and a y-intercept of 5
y =-9x+5
100
What is the x-intercept of this equation?
y = -x + 6
(6,0)
100
What is the slope of a line parallel to y=2x+3?
2
100
Your friend begins a race at mile marker 30, and can run 5 miles per hour. How many hours will it take her to reach mile marker 45?
3 hours
100
What is the slope of the line y=2x+3 ?
2
200
Write a linear function in standard form where A=2 B=-4 and C=19
2x-4y=19
200
What is the y-intercept of this equation?
3x+2y=6
(0,3)
200
What is the slope of the line perpendicular to y=1/3x+2?
-3
200
Jane and Harold donate to a disaster relief fund every year. If Harold donates twice as much as Jane and together they donate $300, how much did Jane donate?
$100
200
Write a linear function in slope-intercept form with a slope of 2 and that passes through the point (0,5)
y=2x+5
300
Write the linear function in this graph:
y=20x-15
300
What is the x-intercept?
2x + 3y = 12
(6, 0)
300
Give the slope of the line parallel to 2x+3y=6
-2/3
300
The length, in inches, of a box is 3 inches less than twice its width, in inches. Write an equation to represent the length, l inches, in terms of the width, w inches, of the box?
l = 2w – 3
300
What is the slope of any line parallel to the x-axis in the (x,y) coordinate plane?
0
400
Write a linear function that passes through the points (0,2) and (-4,5).
y= 3/4x +2
400
What is the x-intercept?
2x+3y-6=0
(3,0)
400
Give the slope of the line perpendicular to 6x+3y=12
1/2
400
When getting into shape by exercising, the subject’s maximum recommended number of heartbeats per minute (h) can be determined by subtracting the subject’s age (a) from 220 and then taking 75% of that value. Write an equation to represent the heartbeats per minute in terms of the subject's age.
h=.75(220-a)
400
A line passes through the points (2,4) and (3,8) in the standard (x,y) coordinate plane. What is the value of y if (6,y) is also on this line?
20
500
Write x-2y=-4 in slope intercept from.
y=0.5x+2
500
What are the x & y intercepts?
4x-3y+12=0
(-3,0)
(0,4)
500
Give the slope of the line parallel to y=2x+3 that also passes through the point (0,6).
y=2x+6
500
You are at school, 12 miles away from home. You start walking home with your friends at a speed of 3 miles per hour towards your home.
a. Write an equation that represents your distance from home (y) after (x) hours.
b. How many hours does it take to get home?
a. y = -3x + 12
b. 4
500
In the (x,y) coordinate plane, a line passes through the point (3, 8) and has a slope of 2. What is the y-coordinate of a point on the line having an x-coordinate of 6 ?
14