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
2007-03-12
03:08:29
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5 answers
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asked by
Bobi A
1
in
Mathematics