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Warm Up Find the value of m . 1. 2. 3. 4.

Warm Up Find the value of m . 1. 2. 3. 4. Objectives. Find the slope of a line. Use slopes to identify parallel and perpendicular lines. The slope of a line in a coordinate plane is a number that describes the steepness of the line. AB. AC. AD.

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Warm Up Find the value of m . 1. 2. 3. 4.

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  1. Warm Up Find the value of m. 1. 2. 3. 4.

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

  3. The slopeof a line in a coordinate plane is a number that describes the steepness of the line.

  4. AB AC AD Example 1A: Finding the Slope of a Line Use the slope formula to determine the slope of each line.

  5. 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.

  6. 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.

  7. If a line has a slope of , then the slope of a perpendicular line is . The ratios and are called opposite reciprocals.

  8. Caution! Four given points do not always determine two lines. Graph the lines to make sure the points are not collinear.

  9. UV and XY for U(0, 2), V(–1, –1), X(3, 1), and Y(–3, 3) Example: 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.

  10. CD and EF for C(–1, –3), D(1, 1), E(–1, 1), and F(0, 3) Example: 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.

  11. WX and YZ for W(3, 1), X(3, –2), Y(–2, 3), and Z(4, 3) Special Case Graph each pair of lines. Use slopes to determine whether the lines are parallel, perpendicular, or neither.

  12. 2.AB and XY for A(–2, 5), B(–3, 1), X(0, –2), and Y(1, 2) 3.MN and ST for M(0, –2), N(4, –4), S(4, 1), and T(1, –5) Lesson Quiz 1. Use the slope formula to determine the slope of the line that passes through M(3, 7) and N(–3, 1). m = 1 Graph each pair of lines. Use slopes to determine whether they are parallel, perpendicular, or neither. 4, 4; parallel

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