Question

Here is the graph for one equation in a system of equations:

Match the correct equation to the scenario.

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

a) y=-3/4x+4

b) y=-3/4x+2

c) y=-3/4x+1

Write a second equation whose graph goes through (0, 1) so the system has no solutions.

a) y=-3/4x+4

b) y=-3/4x+2

c) y=-3/4x+1

Write a second equation whose graph goes through (0, 2) so the system has one solution at (4, 1).

a) y=-3/4x+4

b) y=-3/4x+2

c) y=-3/4x+1

Answer 1

Explanation:

1. y = -3/4 +4 cause that is the same line as the equation and since they are the same line it would mean there would be infinitely many solutions.

2. y=-3/4x+2 if you graph this line next to the orginal line it runs through (0,1) and you can see that its paralellel and will never meet the other line so there will be no solutions

3. for this question im confused because none of the answers fits the line that the question is asking for the closest would be y= -3/4x+2 since it runs through (0,2) but other than that none of the answers fit the line its describing.

an equation that would work though would be y=-1/4x+2