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EXAMPLE 2

SOLUTION. Find the slopes of the lines. Line a : The equation is in slope-intercept form . The slope is 5. Determine whether lines are parallel or perpendicular. EXAMPLE 2. Determine which lines, if any, are parallel or perpendicular. Line a : y = 5 x – 3. Line b : x + 5 y = 2.

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EXAMPLE 2

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  1. SOLUTION Find the slopes of the lines. Line a: The equation is in slope-intercept form.The slope is 5. Determine whether lines are parallel or perpendicular EXAMPLE 2 Determine which lines, if any, are parallel or perpendicular. Line a: y = 5x – 3 Line b:x + 5y = 2 Line c:–10y – 2x = 0 Write the equations for lines band cin slope-intercept form.

  2. Lineb: x + 5y = 2 – x y = + 1 2 1 Linec: –10y – 2x = 0 5 5 5 x – y = Determine whether lines are parallel or perpendicular EXAMPLE 2 5y = – x + 2 –10y = 2x

  3. ANSWER Lines band chave slopes of – , so they are parallel. Lineahas a slope of5,the negative reciprocal of – , so it is perpendicular to lines band c. 1 1 5 5 Determine whether lines are parallel or perpendicular EXAMPLE 2

  4. ANSWER parallel: b and c; perpendicular: a and b, a and c for Example 2 GUIDED PRACTICE Determine which lines, if any, are parallel or perpendicular. Line a: 2x + 6y =–3 Line b: y = 3x – 8 Line c:–1.5y + 4.5x = 6

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