Question

Rewrite the following linear equation in point-slope form to standard form: y-3=2(x-7)

Answer 1

To rewrite the linear equation in point-slope form (y - y1) = m(x - x1) to standard form (Ax + By = C), we need to simplify and rearrange the equation.

The given equation is y - 3 = 2(x - 7).

First, let's distribute the 2 to the terms inside the parentheses:

y - 3 = 2x - 14

Next, let's rearrange the equation to have all the variables on one side and the constant term on the other side:

y - 2x = -14 + 3

Simplifying further:

y - 2x = -11

Now the equation is in standard form: y - 2x = -11.

Answer 2

y-3 = 2(x-7)

→ y = 2x - 14 + 3
→ 2x - y = 14 - 3
→ 2x - y = 11