anaguzman
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HELP ASAP!!!
Is the line through points P(-3, -2) and Q(2, 3) perpendicular to the line through points R(10, -1) and S(15, -6)? Explain.
a. No, their slopes are not opposite reciprocals.
b. No; their slopes are not equal.
c. Yes; their slopes have product -1.
d. Yes; their slopes are equal.

Respuesta :

choixongdong
line through points P(-3, -2) and Q(2, 3) 
slope = (3 + 2)/(2 + 3) = 5/5 = 1

line through points R(10, -1) and S(15, -6)
slope = (-6 + 1)/(15 - 10) = -5/5 = -1

perpendicular lines, slope is opposite and reciprocals
slope of line PQ = 1 and slope of line RS = -1
So they are perpendicular

answer
c. Yes; their slopes have product -1.

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