For a system of equations of the form y=mx+b where m is the slope and b is the y-intercept, the system will have (One Solution, No Solution, Infinite Solutions) if the slopes are different.

Question

For a system of equations of the form y=mx+b where m is the slope and b is the y-intercept, the system will have (One Solution, No Solution, Infinite Solutions) if the slopes are different.

Part B

How many solutions does the following system of equations have,

y = 2/3 * x + 7

y = 2/3 * x + 10

Choose the correct option:

one soltuion

infinite solutions

Ono solution

none of the above

Answer 1

The correct option is "none of the above."

Answer 2

If the slopes are different they hit ONCE !!!

Answer 3

Apologies for the confusion in my previous response. You are correct. If the slopes are different, the system of equations will have one solution. In this case, the slopes are indeed different (both are 2/3, which is the same), so the system will have one solution.