Coordinate Geometry

Assume two ducks start from points A(-4,4) and B(10,-2) and fly at the same speed. How far will each duck fly (to the nearest mile) before they collide?

• 8 miles

• 10 miles

• 38 miles

• 40 miles

Tags

CCSS.HSG.GPE.B.7

What is the slope of the line shown?

• 6/11

• -6/11

• -11/6

• 11/6

Tags

CCSS.HSA.REI.C.6

CCSS.HSG.GPE.B.5

CCSS.HSS.ID.C.7

Two weather balloons travel around the globe along great circles that meet at right angles. How many times do their flight paths intersect?

• 3

• 0

• 2

• 1

What is an equation in point-slope form for the line perpendicular to y = 2x + 13 that contains (8, –4)?

• y + 4 = - (1/2)(x – 8)

• x + 4 = 2(y – 8)

• y + 4 = 2(x – 8)

• y + 8 = - (1/2)(x – 4)

Tags

CCSS.HSG.GPE.A.1

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.

• No, their slopes are not opposite reciprocals.

• No, their slopes are not equal.

• Yes, their slopes are opposite reciprocals.

• Yes, their slopes are equal.

Tags

CCSS.HSG.CO.C.11

What is the equation in point-slope form for the line parallel to y = 5x – 4 that contains P(–6, 1)?

• x – 1 = –5(y + 6)

• y + 1 = 5(x + 6)

• y – 1 = –5(x + 6)

• y – 1 = 5(x + 6)

Tags

CCSS.HSA.CED.A.2