Question

Write a linear equation in standard form for the line that goes through (4,3) and (8,2).

Answer 1

Answer:

Ax + By = C

A, B and C can be any number--including negative numbers, zero and one! So examples of standard form can look like this:

3_x_ + 7_y_ = 10, where A = 3, B = 7 and C = 10.

Or they can look like this:

x + 5_y_ = 6. In this case, A = 1, B = 5 and C = 6.

Or this:

8_y_ = 9. In this case, A = 0, which is why x does not appear in the equation. B = 8 and C = 9, as you would expect.

And here's one more:

3_x_ − 5_y_ = 12. Here, A = 3, B = −5 and C = 12. Notice that in this case, B is negative five!

The standard form of a linear equation is Ax + By = C, where A, B and C can be any number.