Question

Solve for x in the equation y - y1 = m(x - x1).

a) x = (y - y1) / m + x1
b) x = (y - y1) / (m + x1)
c) x = (y - y1) / m - x1
d) x = (y - y1) / (m - x1)

Answer 1

To solve for x in the equation y - y1 = m(x - x1), divide both sides by m and rearrange the terms. The correct answer is x = (y - y1 + mx1) / m.

Step-by-step explanation:

To solve for x in the equation y - y1 = m(x - x1), we need to isolate x. First, distribute the m to the terms inside the parentheses:

y - y1 = mx - mx1

Then, move the -mx1 term to the other side of the equation:

y - y1 + mx1 = mx

Next, divide both sides of the equation by m:

x = (y - y1 + mx1) / m

Therefore, the correct answer is x = (y - y1 + mx1) / m.