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Chapter 3: Parallel and Perpendicular Lines. Lesson 3: Slopes of Lines. Slope. The ratio of the vertical rise over the horizontal run Can be used to describe a rate of change Two non-vertical lines have the same slope if and only if they are parallel

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## Chapter 3: Parallel and Perpendicular Lines

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**Chapter 3: Parallel and Perpendicular Lines**Lesson 3: Slopes of Lines**Slope**• The ratio of the vertical rise over the horizontal run • Can be used to describe a rate of change • Two non-vertical lines have the same slope if and only if they are parallel • Two non-vertical lines are perpendicular if and only if the product of their slopes is -1**Rise = 0 zero slope (horizontal line)**Run = 0 undefined (vertical line) Parallel = same slope Perpendicular = one slope is the reciprocal and opposite sign of the other Example:find the slope of a line containing (4, 6) and (-2, 8) Slope**Example**Find the slope of the line.**Example**Find the slope of the line.**Example**Find the slope of the line.**Example**• Determine whether FG and HJ are parallel,perpendicular, or neither for F(1, –3), G(–2, –1), H(5, 0), and J(6, 3). (DO NOT GRAPH TO FIGURE THIS OUT!!)**Example**• Determine whether AB and CD are parallel,perpendicular, or neither for A(–2, –1), B(4, 5), C(6, 1), and D(9, –2)**A. Graph the line that contains Q(5, 1) and is parallel to**MN with M(–2, 4) and N(2, 1). B. Graph the line that contains (-1, -3) and is perpendicular to MN for M(–3, 4) and N(5, –8)? Examples

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