Question

What is the slope of the line that passes through the pair of points (3,8) and (9,5)?
A. -2
B. 2
C. 1/2
D. -1/2

What is the slope of the line that passes through the pair of points (-7/2, -3) and (-5, 5/2)?
A. 6/22
B. -6/22
C. 22/6
D. -22/6

Write and equation in point-slope form for the line through the given point with the given slope.
(8,3);m=5
A. y+3=5(x-8)
B. y+3=5x-8
C. y-3=5(x-8)
D. y-3=5(x+8)

Answer 1

1. (3,8), (9,5).
m = (5-8)/(9-3) =

2. (-7/2,-3), (-5,5/2).
m = (5/2-(-3))/(-5-(-7/2)) =
(5/2+6/2)/(-10/2+7/2) =
(11/2)/(-3/2) = 11/2 * (-2/3) =
-22/6.

3. (8,3), (x,y), m = 5.
m = (y-3)/(x-8) = 5.
Cross multiply:
y-3 = 5(x-8).