Question

select the correct answer. given the formula below, solve for x. $y - y_1 = m(x - x_1)$ \\(\bigcirc\\) a. $x = \frac{y - y_1}{m} + x_1$ \\(\bigcirc\\) b. $x = \frac{y - y_1 + x_1}{m}$ \\(\bigcirc\\) c. $x = \frac{m(y - y_1)}{x_1}$ \\(\bigcirc\\) d. $x = \frac{y - y_1}{m} - x_1$

Explanation:

Step1: Divide both sides by \( m \)

Given the formula \( y - y_1 = m(x - x_1) \), divide each side by \( m \) (assuming \( m
eq 0 \)):
\( \frac{y - y_1}{m} = x - x_1 \)

Step2: Add \( x_1 \) to both sides

To isolate \( x \), add \( x_1 \) to both sides of the equation:
\( \frac{y - y_1}{m} + x_1 = x \)
Rearranging gives \( x = \frac{y - y_1}{m} + x_1 \), which matches option A.

Answer:

A. \( x = \frac{y - y_1}{m} + x_1 \)