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**4-4 Parallel and Perpendicular Lines**

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A Quick Review What is the point-slope form of an equation for a line that passes through the point (5, –5) with the slope m = 2? What is the point-slope form of an equation for a line that passes through the point (–1, 5) with the slope m = ?

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A Quick Review What is the standard form of the equation of the diagonal AC? What is the slope-intercept form of the equation of the diagonal AC? What is the equation has a graph that passes through the points at (3, 4) and (–1, –4)?

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**What are we learning today?**

EQ: Why is math used to model real-world situations? I will be able to… Write an equation of the line that passes through a given point, parallel to a given line Write an equation of the line that passes through a given point, perpendicular to a given line. Vocabulary: Parallel lines Perpendicular lines Write the slope-intercept form of an equation for the line that passes through (4, –2) and is parallel to the graph of

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**What are we learning today?**

Write the slope-intercept form of an equation for the line that passes through (2, 3) and is parallel to the graph of Write the equation in standard form.

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**What are we learning today?**

A. GEOMETRY The height of a trapezoid is the length of a segment that is perpendicular to both bases. In trapezoid ARTP, RT and AP are bases. Can EZ be used to measure the height of the trapezoid? Explain.

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**What are we learning today?**

B. GEOMETRY The height of a trapezoid is the length of a segment that is perpendicular to both bases. In trapezoid ARTP, RT and AP are bases. Are the bases parallel? The graph shows the diagonals of a rectangle. Determine whether JL is perpendicular to KM.

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**What are we learning today?**

Determine whether the graphs of 3x + y = 12, and 2x – 6y = –5 are parallel or perpendicular. Explain. Graph each line on a coordinate plane.

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**What are we learning today?**

Determine whether the graphs of y = –2x + 1, x – 2y = –4, and y = 3 are parallel or perpendicular. Write an equation in slope-intercept form for the line that passes through (4, –1) and is perpendicular to the graph of 7x – 2y = 3. Write an equation in slope-intercept form for the line that passes through (–3, –2) and is perpendicular to the graph of x + 4y = 12.

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**What are we learning today?**

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**Recap---- Parallel lines have slopes that are ___________**

Perpendicular lines slopes that are __________ Parallel lines ___________ meet and have _____________slopes. Perpendicular lines meet at a _________ and have ____________________slopes

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9.3.4.4 Use coordinate geometry to represent and analyze line segments and polygons, including determining lengths, midpoints and slopes of line segments.

9.3.4.4 Use coordinate geometry to represent and analyze line segments and polygons, including determining lengths, midpoints and slopes of line segments.

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