# Graphs and Linear Equations

3. Graph by plotting points.

y+x= -4

4. Graph by plotting points.

3x= -y+3

Complete the ordered pairs. (-1,_), (1,_)

6. Find the intercepts for the graph of the equation given.

x+4y=0

the x-intercept is?

the y-intercept is?

7. Find the intercepts and then use them to graph the equation.

3x+y=6.

https://brainmass.com/math/graphs-and-functions/graphs-plots-linear-equations-424862

#### Solution Preview

The graphs are on the attachment.

y+x=-4 x=-4-y y

-3 -1

-4 0

-5 1

-6 2

-7 3

-8 4

-9 5

Graph by plotting points 3x=-y+3 3x=y+3 x=(y+3)/3 y

-1 -6

Complete the ordered pairs. (-1,_), (1,_) -0.666666667 -5

(-1,-6) -0.333333333 -4

(1,0) ...

#### Solution Summary

The solution plots linear equations and completes the ordered pairs from graphs. Intercepts are found and used to graph the equation.

Solving and Graphing Linear Equations and Word Problems

Week 3 Discussion Questions-Linear Equations in 2 Variables

1. Paul and nine other students are taking a math class. He is worried about the content of the next quiz because he just can't solve those word problems. The teacher has said that the number of questions divided by the number of students = 2.8, and 14.3 % of the test is devoted to word problems.

How many word problems must Paul worry about?

If he misses all of the word problems, what will his % test grade be?

2. Line equations

Find the line through the following points. Write the answer in the slope/intercept form.

a. Use the m formula to find the slope,

b. and y = mx+b to find the line equation.

c. (1,2)(10,3)

In a paragraph summarize how your graph differs from the person who has the student number less than you, and the student who has the student number higher than you? Do not solve their equations, rather talk of intercepts and slopes.

Submit solutions to the assignment mailbox for grading by Monday

Using Excel, graph the line below on the row corresponding to your student assignment number. Step one will be to change the given equation into a slope-intercept equation, i.e. and equation that begins y =

1. 3x+2y = 8

2. 4x+2y = 9,

3. 5x+2y = 10

4. 6x+2y = 8

5. 3x-2y = 8

6. 4x-2y = 8

7. 5x-2y = 10

8. 6x-2y = 12

9. 2x+4y = 8

10.4x-3y = 9

11.4x-2y = -8

12.5x+2y = 10

There are several parts to question #3 that are important;

a. Use Excel to create a spreadsheet for the graph values. Use as x values; -4,-3,-2,-1,0,1,2,3,4 in column A.

b. A second part is to change the given equation into equations that Excel or other spreadsheet programs can read in the formula line. Place this equation in the top cell of column B. Follow the directions on the Excel note (sheet 1) in the course materials mailbox.

c. Now create the line graph.

Choose the "x-y scatter" type.

Submit solutions to the assignment mailbox for grading by Monday.

4.Weekly Grading Spreadsheet Problem

1. C9,C10

2. F8,F9,F10

3. O9,C10

4. L9,L10

5. I9,I10

6. L9,L10

7. P9,P10

8. P11,U5

9. T7,T8

10.U7,U8

11.L9,L10

12.I5,I7

For the Spreadsheet assignment. Go to your assigned cells in the attached spreadsheet. Highlight the cells by moving the cursor there and single click. Now read the exact equation in the window at the top of the spreadsheet, the window with fx to the left of it.

a. Type the equations. Do not forget the = sign. Begin the equations with the = sign. Do not use y.

b. what is Excel calculating in this cell.

Week 3 Discussion Questions-Linear Equations in 2 Variables

5. a. Write a word problem about grades that explains the calculations in your assigned cells in the previous spreadsheet problem.

b. Glance at all the cells assigned to your classmates.

In a paragraph explain what Excel is doing in this spreadsheet.