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Expert-verified Found in: Page 105 ### Algebra 2

Book edition Middle English Edition
Author(s) Carter
Pages 804 pages
ISBN 9780079039903 # Graph the line passing through the given point with the given slope$25. \text{(3,-2),undefined}$

The graph of the line passing through the point $\left(3,-2\right)$ with the undefined slope is See the step by step solution

## Step-1 – Apply the concept of slope of a line

The slope of a line is the ratio of the change in the y-coordinates to the change in the x- coordinates.

Symbolically, the slope m of the line passing through the points $\left({x}_{1},{y}_{1}\right)\text{and}\left({x}_{2},{y}_{2}\right)$ is given by $m=\frac{{y}_{2}-{y}_{1}}{{x}_{2}-{x}_{1}}$ where ${x}_{1}\ne {x}_{2}$.

## Step-2 – Plot the given ordered pair

The given ordered pair is $\left(3,-2\right)$

Hence plot the point in the graph such that the point is 3 unit in the positive x-axis and 2 units in the negative y-axis.

Therefore, the point $\left(3,-2\right)$ in the graph is as shown below: ## Step-3 – Find a new point using the slope

Given that the slope is undefined.

Slope is said to be undefined only when the denominator in $m=\frac{{y}_{2}-{y}_{1}}{{x}_{2}-{x}_{1}}$ is zero (i.e) only when ${x}_{2}-{x}_{1}=0⇒{x}_{2}={x}_{1}$. If a slope is undefined then the line will be vertical and hence the line passes through the same value of x and different values of y. That is the value of x remains 3 through the line.

## Step-4 – Graph the line

Draw a line passing through the point $\left(3,-2\right)\text{}$and parallel to $x=3$.  ### Want to see more solutions like these? 