Writing Linear Equations Answers
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A line has a slope of . Which ordered pairs could be points on a line that is perpendicular to this line? Select two options.(–2, 0) and (2, 5)(–4, 5) and (4, –5)(–3, 4) and (2, 0)(1, –1) and (6, –5)(2, –1) and (10, 9)
A
(–2, 0) and (2, 5)B
(–4, 5) and (4, –5)C
(–3, 4) and (2, 0)D
(1, –1) and (6, –5)E
(2, –1) and (10, 9)2
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Determine the missing information in the paragraph proof.Given: Line PQ is rotated 90° counterclockwise to form line P’Q’. The lines are perpendicular. Line PQ contains the points (a, b) and (c, d). Line P’Q’ contains the points (–b, a) and (–d, c).Prove: The slopes of perpendicular lines are negative reciprocals.
A
(StartFraction d minus b Over c minus a EndFraction) (StartFraction c minus a Over negative d + b EndFraction) = negative 1
B
(StartFraction b minus a Over a + b EndFraction) (StartFraction c minus d Over negative d minus c EndFraction) = negative 1
C
(StartFraction d minus b Over c minus a EndFraction) (StartFraction c minus a Over negative d + b EndFraction) = 1
D
(StartFraction b minus a Over a + b EndFraction) (StartFraction c minus d Over negative d minus c EndFraction) = 1
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