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Objectives. Find the slope of a line. Use slopes to identify parallel and perpendicular lines. Vocabulary. rise run slope. The ______________________ of a line in a coordinate plane is a number that describes the steepness of the line.

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## Find the slope of a line. Use slopes to identify parallel and perpendicular lines.

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**Objectives**Find the slope of a line. Use slopes to identify parallel and perpendicular lines.**Vocabulary**rise run slope**The ______________________of a line in a coordinate plane is**a number that describes the steepness of the line. • Any ________ points on a line can be used to determine the slope.**One interpretation of slope is a rate of change. If y**represents miles traveled and x represents time in hours, the slope gives the rate of change in miles per hour.**AB**Example 1A: Finding the Slope of a Line Use the slope formula to determine the slope of each line.**AC**Example 1B: Finding the Slope of a Line Use the slope formula to determine the slope of each line.**AD**Example 1C: Finding the Slope of a Line Use the slope formula to determine the slope of each line.**Remember!**A fraction with zero in the denominator is undefined because it is impossible to divide by zero.**Use the slope formula to determine the slope of JK through**J(3, 1) and K(2, –1). Check It Out! Example 1D**Example 2: Transportation Application**Justin is driving from home to his college dormitory. At 4:00 p.m., he is 260 miles from home. At 7:00 p.m., he is 455 miles from home. Graph the line that represents Justin’s distance from home at a given time. Find and interpret the slope of the line.**Check It Out! Example 2B**What if…? Use the graph below to estimate how far Tony will have traveled by 6:30 P.M. if his average speed stays the same.**If a line has a slope of , then the slope of a**perpendicular line is . The ratios and are called ________________.**UV and XY for U(0, 2), V(–1, –1), X(3, 1), and Y(–3,**3) Example 3A: Determining Whether Lines Are Parallel, Perpendicular, or Neither Graph each pair of lines. Use their slopes to determine whether they are parallel, perpendicular, or neither.**GH and IJ for G(–3, –2),**H(1, 2), I(–2, 4), and J(2, –4) Example 3B: Determining Whether Lines Are Parallel, Perpendicular, or Neither Graph each pair of lines. Use their slopes to determine whether they are parallel, perpendicular, or neither.**CD and EF for C(–1, –3), D(1, 1), E(–1, 1), and F(0,**3) Example 3C: Determining Whether Lines Are Parallel, Perpendicular, or Neither Graph each pair of lines. Use their slopes to determine whether they are parallel, perpendicular, or neither.

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