EXAMPLE 2 Determine whether lines are parallel or perpendicular Determine which lines, if any, are parallel or perpendicular. Line a: y = 5x – 3 Line b:

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

EXAMPLE 2 Line b: x + 5y = 2 5y = – x + 2 Line c: –10y – 2x = 0 –10y = 2x y = – x 1 5 Determine whether lines are parallel or perpendicular x y = –

EXAMPLE 2 ANSWER Lines b and c have slopes of –, so they are parallel. Line a has a slope of 5, the negative reciprocal of –, so it is perpendicular to lines b and c Determine whether lines are parallel or perpendicular

GUIDED PRACTICE for Example 2 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 ANSWER parallel: b and c ; perpendicular: a and b, a and c

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