Find the Equation Using Two Points (-2,3) , (-2,5)

$(- 2, 3)$ , $(- 2, 5)$

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.

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

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

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).

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

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

$m = \frac{5 - (3)}{- 2 - (- 2)}$

Finding the slope $m$ .

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Multiply $- 1$ by $- 2$ .

$m = \frac{5 - (3)}{- 2 + 2}$

Add $- 2$ and $2$ .

$m = \frac{5 - (3)}{0}$

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

$m = Undefined$

Undefined

Since the slope is $\infty$ , this is a vertical line. Since a vertical line has a constant value of $x$ and the line must pass through $(- 2, 3)$ , the equation is $x = - 2$ .

$x = - 2$

Find the Equation Using Two Points (-2,3) , (-2,5)

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