Question

Write your slopes for the equation as a fraction. Leave no spaces. Use the / in your fractions.

a. Write a second equation for the system so it has infinitely many solutions.




b. Write a second equation whose graph goes through (0, 2) so that the system has no solutions.


c. Write a second equation whose graph goes through (2, 2) so that the system has one solution at (4, 3)

Answer 1

Equation of given line: y = (3/2)x - 3

a) 2y = 3x - 6

-3x + 2y = -6

3x - 2y = 6

6x - 4y = 12

b) y = (3/2)x + 2

c) m = (3 - 2)/(4 - 2) = 1/2

2 = (1/2)(2) + b

2 = 1 + b, so b = 1

y = (1/2)x + 1