Pre-Algebra Examples

$(3, - 9)$ , $(3, - 10)$

Step 1

Find the value of the slope.

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Step 1.1

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 1.2

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 1.3

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

$m = \frac{- 10 - (- 9)}{3 - (3)}$

Step 1.4

Simplify.

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Step 1.4.1

Multiply $- 1$ by $3$ .

$\frac{- 10 - (- 9)}{3 - 3}$

Step 1.4.2

Subtract $3$ from $3$ .

$\frac{- 10 - (- 9)}{0}$

Step 1.4.3

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

Undefined

Step 2

Since the slope is undefined, this is a vertical line. Vertical lines have no y-intercept.

No y-intercept

Step 3

The slope is undefined and there is no y-intercept.

Slope: Undefined

No y-intercept