Solve the following?

Question

Graph and Analyze Linear Functions

1. Why do intersecting lines represent a unique solution? Give examples to support your answer.
2. What is the significance of the name 'linear equation' to its graphical representation?
3. The solutions of line m are (3, 3), (5, 5), (15, 15), (34, 34), (678, 678), and (1234, 1234).
The solutions of line n are (3, -3), (5, -5), (15, -15), (34, -34), (678, -678), and (1234, -1234).
a. Form the equations of both the lines.
b. What are the co-ordinates of the point of intersection of lines m and n?
c. Write the co-ordinates of the intersections of lines m and n with the x-axis.
d. Write the co-ordinates of the intersection of lines m and n with the y-axis.

Solving System of Linear Equations

4. Find k if the following system of equations has a unique solution
2x + (k - 1)y = 6
3x + (2k + 1)y = 9
5. Find k if the following system of equations has infinite solutions
kx + 3y = k - 3
12x + ky = k
6. Find k if the following system of equations has no solution
3x + 2y = 6
kx + (k - 1)y = 9

Answer 1

1-Because 2 intersecting line have one and only one points that belongs to every two line.
For example: Y=X+2 and Y=2x If you solve these equations together you find the point: (2,4) which belongs to every two line.

2- When you draw the linear equation you find a line.

3- a) m: X=Y n: X=-Y
b) (0 , 0)
c) (0, 0)
d) (0, 0)

4- 2/3<>(k-1)/(2k+1)<>6/9 k<>-5

5- k/12=3/k=(k-3)/k k=6

6- 3/k=2/(k-1)<>6/9 k=3

Answer 2

2. its called a LINEar equation because it makes a a LINE

Answer 3

Stop goofing around and start doing your homework yourself, you wont have us there when it's time to do the test!!!

Answer 4

have you got a mth homework you cant do yourself,cause i am in the same boat!

Answer 5

No.