Consider the following equation

Question

Consider the following equation.

5x−3y=8

Determine the missing coordinate in the ordered pair (−1,?) so that it will satisfy the given equation.

Answer 1

5x−3y=8 describes a line that passes through the point (-1,?).

Since -1 is the x-coordinate, I can substitute -1 for x in the equation:

5(-1)-3y=8

I can then simplify:

-5-3y=8

Now I can add 5 to both sides:

-3y=13

And divide both sides by -3:

y=-13/3=-4 1/3.

So the line 5x-3y=8 passes through the point (-1,-4 1/3).