FIND X AND Y INTERCEPTS OF A LINE WORKSHEET

Find x and y intercepts of the lines given below.

Problem 1 :

x + 2y = 8

Solution

Problem 2 :

3x - y = 6

Solution

Problem 3 :

2x - 3y = 6

Solution

Problem 4 :

4x + 3y = 12

Solution

Problem 5 :

x + y = 5

Solution

Problem 6 :

x - y = - 5

Solution

Problem 7 :

2x - y = - 4

Solution

Problem 8 :

9x - 2y = 9

Solution

Problem 9 :

3x + 4y = -15

Solution

Use axes intercepts to draw the graph of:

Problem 1 :

x + y = 6

Solution

Problem 2 :

2x + y = 4

Solution

Problem 3 :

3x - y = 5

Solution

Problem 4 :

2x + 3y = 6

Solution

Problem 5 :

3x - 4y = 12

Solution

Problem 6 :

x + 3y = -6

Solution

Problem 7 :

2x - 5y = 10

Solution

Problem 8 :

2x + 7y = 14

Solution

Problem 9 :

3x - 4y = 8

Solution

Problem 10 :

You are designing a sticker to advertise your band. A company charges $225 for the first 1000 stickers and $80 for each additional 1000 stickers.

a. Write an equation that represents the total cost (in dollars) of the stickers as a function of the number (in thousands) of stickers ordered.

b. Find the total cost of 9000 stickers.

Solution

Problem 11 :

You pay a processing fee and a daily fee to rent a beach house. The table shows the total cost of renting the beach house for different numbers of days.

a. Can the situation be modeled by a linear equation? Explain.

b. What is the processing fee? the daily fee?

c. You can spend no more than $1200 on the beach house rental. What is the maximum number of days you can rent the beach house?

Solution

Find the x and y intercept of the line with the given equation.

Problem 1 :

x - y = 4

Solution

Problem 2 :

x + 5y = -15

Solution

Problem 3 :

3x - 4y = -12

Solution

Problem 4 :

2x - y = 10

Solution

Problem 5 :

4x - 5y = 20

Solution

Problem 6 :

-6x + 8y = -36

Solution

Problem 7 :

You are planning an awards banquet for your school. You need to rent tables to seat 180 people. There are two table sizes available. Small tables seat 6 people, and large tables seat 10 people. The equation 6x + 10y = 180 models this situation, where x is the number of small tables and y is the number of large tables.

a. Graph the equation. Interpret the intercepts.

b. Find four possible solutions in the context of the problem.

Solution

Problem 8 :

You are organizing a class trip to an amusement park. The cost to enter the park is $30. The cost to enter with a meal plan is $45. You have a budget of $2700 for the trip. The equation

30x + 45y = 2700

models the total cost for the class to go on the trip, where x is the number of students who do not choose the meal plan and y is the number of students who do choose the meal plan.

a. Interpret the intercepts of the graph.

b. Describe the domain and range in the context of the problem.

Solution