IMAT MATH 22 June

If the angle that a straight line makes with the positive 𝑥-axis when measured counterclockwise is 0∘,what will the slope of the straight line be?

• Negative

• Undefined

• Positive

• Zero

Find, to the nearest two decimal places, the slope of the line that makes a positive angle of 60∘ with the positive direction of the 𝑥-axis.

• 89

• 3

• 1.75

Consider a line with slope 1 and another line that makes an angle of 45∘ with the 𝑥-axis in a counterclockwise direction. Which of the following is correct about the two lines?

• The two lines are perpendicular.

• The two lines are parallel.

• They are neither parallel nor perpendicular.

Let 𝐿 be the line through the points (−7,−7) and (−9,6) and 𝑀 the line through (1,1) and (14,3).Which of the following is true about the lines 𝐿 and 𝑀?

• They are intersecting but not perpendicular .

• They are parallel.

• They are perpendicular.

• Neither of the previous

Let 𝑀 be the line on points (0,−8) and (−4,10),and 𝐿 the perpendicular to 𝑀 that passes through the origin (0,0).What is the measure of the positive angle that 𝐿 makes with the positive 𝑥-axis? Give your answer to the nearest second.

• 102° 31′ 44′′

• 167° 28′ 16′′

• 12° 31′ 44′′

• 77° 28′ 16′′

If the line that passes through the points 𝐴(6,0) and 𝐵(4,−6) is perpendicular to the line passing through the points 𝐶(−9,19) and 𝐷(𝑥,15),what is the value of 𝑥?

• 3

• 21

• 9

• 12

If the line passing through points 𝐴(−13,8) and 𝐵(20,𝑦) is parallel to the line passing through points 𝐶(−2,0) and 𝐷(7,𝑦),what is the value of 𝑦?

• 3

• -3

• (6,-6)

• (1,-1)

• (-1,1)

• (-6,6)