What should Andrea conclude about

this system of equations?

Consider the following system of equations. What can you conclude about the system of equations?

y=3x-7

y-3x=5

All linear equations are of the form: y = mx + c, where m is the slope of the graph and c is the y-intercept.

Our two equations, when rewritten, are,

y = 3x - 7

y = 3x + 5

It can be seen that they have the same gradient, m = 3, and so they are parallel.

The 1st line has a y-intercept of c = - 7, while the second line has a y-intercept of c = 5.