Understanding and using slopes

What slope is perpendicular to:  
m = 3

• m = -3

• m = -1/3

• m = 1/3

• m = 3

Given points P(11, 2) and Q(–13, –5), what are the coordinates of the point on directed line segment PQ} that partitions PQ} in the ratio 3:2?

A student is finding the slope between the points ( -3, 1) and ( -4, -5).  Is he correct?  If not, what's the error?

• The work is correct
• Incorrect.
  -4 - (-5) should be -9
• Incorrect. He or she did x - y.  It should be y -y over x-x.
• Incorrect. It should be -1 / 4

• Parallel

• Perpendicular

• Neither

The pair of figures is similar. Solve for x.

• 21
• 14
• 12
• 18

What is the slope of a line perpendicular to a line with slope ^-6/₅ ?

• ^-6/₅

• ^-5/6

• ⁵/₆

• ^-4/₃

Slopes of perpendicular lines are...

• opposite (sign) reciprocals.

• opposites.

• identical.

• always 7.

• parallel

• perpendicular

• neither