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Proving Relationships of Parallel and Perpendicular Lines

Proving Relationships of Parallel and Perpendicular Lines 1.10 - Solution

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Consider the given equation. Recall that parallel lines have the same slope. Because of this, we know that all lines that are parallel to the given one will have a slope of We can write a general equation in slope-intercept form for all the lines that are parallel to the given line. Now we have to find the value of the intercept. To do so, we will substitute the given point in the above equation, and solve for
Solve for
Now that we know the value of the intercept, we write the equation of the parallel line to through