[Part 3] Midterm Exam in MATH 153 - Analytic Geometry Plus

Find the distance between the point (8, 2) and (5, 6).

• 7
• 1
• 5
• 8

How far is the intersection of the lines 4x – 5y =26 and 3x + 7y = -2 from the origin?

• 4.47
• 6.71
• 2.24
• 8.94

Find the distance between the points A(4, 7) and B(3, -8).

• 15.03
• 16.71
• 12.24
• 18.94

Find the distance AB, the angle that AB makes with x-axis, and slope whose coordinates are A(3, -5) and (4, -1).

• d = 4.123, theta = 75.96°, m = 4
• d = 4.123, theta = 14.04°, m = ¼
• d = 4.123, theta = 75.96°, m = ¼
• d = 4.123, theta = 14.04°, m = 4

Find the distance AB, the angle that AB makes with x-axis, and slope whose coordinates are A(1, 9) and (4, -5).

• d = 14.32, theta = 77.9°, m = -14/3
• d = 14.32, theta = 102.1°, m = 14/3
• d = 14.32, theta = 77.9°, m = 14/3
• d = 14.32, theta = 102.1°, m = -14/3

Find the inclination of the line passing through (4, 1) and (-3, -3).

• 29.74°
• 28.56°
• 31.17°
• 30.83°

Find the equation of the line that passes through (-5, -6) and (4, 3).

• x – y = -1
• x – y = 1
• x + y = 1
• x + y = -1

If the point (-2, 3), (x, y) and (-3, 5) lie on a straight line, what is the equation of the line?

• 2x + y – 1 = 0
• 2x + 3y – 5 = 0
• 2x + 3y – 9 = 0
• 2x + y + 1 = 0

Find the equation of the line passing through points (5, -1) and (8, 3).

• 4x – y = 23
• 4x – 3y = 23
• 4x + y = 23
• 4x + 3y = 23

The equation of the line that intercepts the x-axis at x = 4 and the y-axis at y = -6 is:

• 3x – 2y = 12
• 3x – 2y = -12
• 3x + 2y = 12
• 3x + 2y = -12