 # Finding Equation of Lines Parallel and Perpendicular to Given Lines Parallel linesPerpendicular lines Slopes are the same Slopes are opposite reciprocals.

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Finding Equation of Lines Parallel and Perpendicular to Given Lines Parallel linesPerpendicular lines Slopes are the same Slopes are opposite reciprocals (assume no vertical lines) Recall the relationships between the slopes of parallel and perpendicular lines:

Example 1:Write the slope-intercept form equation of the line that contains the point (-3,5) and is parallel to the graph of the line given by a) Determine the slope of the given line. Slope: b) Since we want the line that is parallel to line 1, it must have the same slope.

c) Use the slope and the point to find the equation of the line. Point-slope form: Write in slope- intercept form:

Example 2:Write the slope-intercept form equation of the line that contains the point (4,-7) and is perpendicular to the graph of the line given by a) Determine the slope of the given line by writing it in slope-intercept form.

Slope: b) Since we want the line that is perpendicular to line 1, it must have a slope that is the opposite reciprocal.

c) Use the slope and the point to find the equation of the line. Point-slope form:

Write in slope- intercept form:

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