Solve for x₂ m=(y_2-y_1)/(x_2-x_1)

$m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$

Step 1

Rewrite the equation as $\frac{y_{2} - y_{1}}{x_{2} - x_{1}} = m$ .

$\frac{y_{2} - y_{1}}{x_{2} - x_{1}} = m$

Step 2

Find the LCD of the terms in the equation.

Finding the LCD of a list of values is the same as finding the LCM of the denominators of those values.

$x_{2} - x_{1}, 1$

Remove parentheses.

$x_{2} - x_{1}, 1$

The LCM of one and any expression is the expression.

$x_{2} - x_{1}$

Step 3

Multiply each term in $\frac{y_{2} - y_{1}}{x_{2} - x_{1}} = m$ by $x_{2} - x_{1}$ to eliminate the fractions.

Multiply each term in $\frac{y_{2} - y_{1}}{x_{2} - x_{1}} = m$ by $x_{2} - x_{1}$ .

$\frac{y_{2} - y_{1}}{x_{2} - x_{1}} (x_{2} - x_{1}) = m (x_{2} - x_{1})$

Simplify the left side.

Cancel the common factor of $x_{2} - x_{1}$ .

Cancel the common factor.

$\frac{y_{2} - y_{1}}{x_{2} - x_{1}} (x_{2} - x_{1}) = m (x_{2} - x_{1})$

Rewrite the expression.

$y_{2} - y_{1} = m (x_{2} - x_{1})$

Simplify the right side.

Apply the distributive property.

$y_{2} - y_{1} = m x_{2} + m (- x_{1})$

Rewrite using the commutative property of multiplication.

$y_{2} - y_{1} = m x_{2} - m x_{1}$

Step 4

Solve the equation.

Rewrite the equation as $m x_{2} - m x_{1} = y_{2} - y_{1}$ .

$m x_{2} - m x_{1} = y_{2} - y_{1}$

Add $m x_{1}$ to both sides of the equation.

$m x_{2} = y_{2} - y_{1} + m x_{1}$

Divide each term in $m x_{2} = y_{2} - y_{1} + m x_{1}$ by $m$ and simplify.

Divide each term in $m x_{2} = y_{2} - y_{1} + m x_{1}$ by $m$ .

$\frac{m x_{2}}{m} = \frac{y_{2}}{m} + \frac{- y_{1}}{m} + \frac{m x_{1}}{m}$

Simplify the left side.

Cancel the common factor of $m$ .

Cancel the common factor.

$\frac{m x_{2}}{m} = \frac{y_{2}}{m} + \frac{- y_{1}}{m} + \frac{m x_{1}}{m}$

Divide $x_{2}$ by $1$ .

$x_{2} = \frac{y_{2}}{m} + \frac{- y_{1}}{m} + \frac{m x_{1}}{m}$

Simplify the right side.

Simplify each term.

Move the negative in front of the fraction.

$x_{2} = \frac{y_{2}}{m} - \frac{y_{1}}{m} + \frac{m x_{1}}{m}$

Cancel the common factor of $m$ .

Cancel the common factor.

$x_{2} = \frac{y_{2}}{m} - \frac{y_{1}}{m} + \frac{m x_{1}}{m}$

Divide $x_{1}$ by $1$ .

$x_{2} = \frac{y_{2}}{m} - \frac{y_{1}}{m} + x_{1}$

Solve for x₂ m=(y_2-y_1)/(x_2-x_1)

Related Questions

Support LCMGCF.com by disabling your adblocker.