Find the Equation Using Two Points (5,3) and (5,-6)

$(5, 3)$ and $(5, - 6)$

Step 1

Use $y = m x + b$ to calculate the equation of the line, where $m$ represents the slope and $b$ represents the y-intercept.

To calculate the equation of the line, use the $y = m x + b$ format.

Step 2

Slope is equal to the change in $y$ over the change in $x$ , or rise over run.

$m = \frac{(change in y)}{(change in x)}$

Step 3

The change in $x$ is equal to the difference in x-coordinates (also called run), and the change in $y$ is equal to the difference in y-coordinates (also called rise).

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

Step 4

Substitute in the values of $x$ and $y$ into the equation to find the slope.

$m = \frac{- 6 - (3)}{5 - (5)}$

Step 5

Finding the slope $m$ .

Multiply $- 1$ by $5$ .

$m = \frac{- 6 - (3)}{5 - 5}$

Subtract $5$ from $5$ .

$m = \frac{- 6 - (3)}{0}$

The expression contains a division by $0$ . The expression is undefined.

$m = Undefined$

Undefined

Step 6

$x = 5$

Step 7

Find the Equation Using Two Points (5,3) and (5,-6)

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