Finding Slope
Word Problems
Parallel & Perpendicular
Graphing
100

The slope of the line.


m=1

100

A plumber charges $25 for a service call plus $50 per hour of service. Write an equation in slope-intercept form representing the total cost from the plumber.

y=50x+25

100

An equation of a line that is parallel to

y=3x+5

y = 3x + b

100

Graph 


200

The slope of the line.


m=3/-4

200

Concert tickets cost $15 for general admission, but only $9 with a student ID. Ticket sales total $4500. Write an equation in standard form representing the number of tickets for each sold. 

Let x = the number of general tickets

Let y = the number of student tickets

15x+9y=4500

200

An equation of a line that is perpendicular to 

y=3x+5

y = -1/3+ b

200

Graph 

x=2

300

The slope of the line. 

x=1

300

Concert tickets cost $15 for general admission, but only $9 with a student ID. The total ticket sales are $4500. Write an equation in standard form representing the number of tickets sold for each type. 

Let x = the number of general tickets

Let y = the number of student tickets

How many general admission tickets were sold if 0 student tickets with ID were sold?

y = 300

300

Write the equation of a line that is parallel to

y=3/4x+2

and passes through the point (0,5).

y=3/4x+5

300

Graph a line that is parallel to the line graphed. 


Multiple answers. Slope should be 1.

400

The slope of the line that passes through the points (6,-7) and (8,5).

m=6

400

A plumber charges $25 for a service call plus $50 per hour of service. Write an equation in slope-intercept form representing the total cost from the plumber. 


If the plumber charges you $525 for the total service, how many hours long was the service?

x = 10

400

Write the equation of a line that is perpendicular to

y=-3x+5

 and passes through the point (3,9).


y=1/3x+8

400

Graph a line that is perpendicular to the line graphed. 


Multiple answers. Slope is 

4/3

500

The slope of the line that passes through the points (2,-5) and (-1,-4)

m=1/-3

500

Your car tank hold 11 gallons of gas in total. You already have 1 gallon inside the tank. You add 2 gallons per minute. This graph represents the gallons per minute of your tank. What is the domain and range?


Domain: [0,5]

Range: [1,11]

500

The equation of a line that is parallel to

x=(y+2)/3

 and passes through the point (2,4).

y=3x+9

500

Graph a line that is perpendicular to the graph and passes through the point (2,4).


y=5/2x-1