Question

Determine the values of A, B, and C when y - 7 = 3(x - 4) is written in standard form, Ax + By = C.

Answer 1

To convert the equation y - 7 = 3(x - 4) to standard form Ax + By = C, we need to rearrange it so that it has the form Ax + By = C, where A, B, and C are constants.

y - 7 = 3(x - 4)

y - 7 = 3x - 12 (distribute the 3)

3x - y = 7 - 12 (move y to the left-hand side)

3x - y = -5

Now we have the equation in standard form, where:

A = 3

B = -1

C = -5

Therefore, the values of A, B, and C are 3, -1, and -5, respectively.