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QUESTION IMAGE

graph a line that is parallel to the given line. determine the slope of…

Question

graph a line that is parallel to the given line. determine the slope of the given line and the one you graphed in simplest form. click and drag on the graph to draw a line.

click and drag to plot a parallel line.
the line will change colors when a parallel or perpendicular line is drawn accurately.

Explanation:

Identify the given line and its properties

Using the Slope of Horizontal and Vertical Lines knowledge point

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Determine the properties of a parallel line

A line parallel to a vertical line must also be a vertical line.
Any vertical line is of the form \(x = c\) where \(c
eq -8\).
The slope of any vertical line is undefined.

Graph a parallel line

We can choose any vertical line other than \(x = -8\). Let's choose the vertical line \(x = -4\).
This line passes through points such as \((-4, 0)\) and \((-4, 5)\).

Answer:

  • Slope of the given line: Undefined
  • Slope of the graphed parallel line: Undefined
  • Equation of a parallel line: \(x = -4\) (or any vertical line \(x = c\) where \(c

eq -8\))