System of Equations

Question

One equation in your system of equations is y=2x+1. What is the second equation of the system if your solution is (-2, -3).

Answer 1

There are an infinite number of lines that work as second equations. Take a look at this graph:

Four possible lines are shown in green. In fact, any line that goes through the point (-2, -3) will work. So, use the point-slope form of a line and pick any value you want for the slope:

As a reminder, the point slope form of a line is: y - y1 = m(x - x1) where the slope is "m" and the point is (x1, y1) which, in this case is (-2, -3). That makes the equation of the line y + 3 = m(x + 2). Now, just pick whatever you want for "m".

Answer 2

There are an infinite number. Why not go for the easiest. x = -2