Which ordered pairs are a solution to the equation

Question

Which ordered pairs are a solution to the equation 3x-y=-1

Answer 1

Put the equation in y=mx+b form. Here, m is the slope of the line and b is the y-intercept.

3x-y=-1

   -y=-3x-1

    y=3x+1

 

The slope is 3, so from a point on the line, to get to the next point you go up 3 and over to the right 1. 

The y-intercept is 1, so the line intersects the y axis at (0,1). That's an ordered pair. You can check it by plugging in the two numbers into the original equation. If you solve and get something true, like -1=-1, then you've found a good solution. 

 

To find another ordered pair, use the slope m=3. From (0,1), go up 3 and over 1. This brings you to the ordered pair (1,4).