Question

A line is defined by the equation 2x + 4y = -8. Determine the equation of

another line that will creare a linear system with
(a) no solution
(b) many solucions
(c) one solution​

Answer 1

so turn it into the other form:

2x+4y=-8

4y=-2x-8

y=-0.5-2

then:

a) y=-0.5x+44

b) y=-0.5x-2 (itself)

c) y=-55x-2 (they cut each other in (0,-2)