Question

Select the slope of the line that joins the pair of points.

a. (9, 10) and (7, 2)

b. (-8, -11) and (-1, -5)

c. (5, -6) and (2, 3)

d. (6, 3) and (5, -1)

e. (4, 7) and (6, 2)

Answer 1

Explanation:

When we have two finite points (a,b) and (c,d). We can say that the slope of the line that intersects these two points is m=(d-b)/(c-a)

(a) m=(2-10)/(7-9)=4

(b) m=(-5-(-11))/(-1-(-8))=6/7

(c) m=(3-(-6))/(2-5)=-3

(d) m=(-1-3)/(5-6)=4

(e) m=(2-7)/(6-4)=-5/2=-2.5

Answer 2

To find the slope of a line joining two points, we can use the formula:

slope = (change in y) / (change in x)

Let's calculate the slope for each pair of points:

a. (9, 10) and (7, 2)

Slope = (2 - 10) / (7 - 9) = -8 / -2 = 4

b. (-8, -11) and (-1, -5)

Slope = (-5 - (-11)) / (-1 - (-8)) = 6 / 7

c. (5, -6) and (2, 3)

Slope = (3 - (-6)) / (2 - 5) = 9 / -3 = -3

d. (6, 3) and (5, -1)

Slope = (-1 - 3) / (5 - 6) = -4 / -1 = 4

e. (4, 7) and (6, 2)

Slope = (2 - 7) / (6 - 4) = -5 / 2

In summary, the slopes for each pair of points are:

a. 4

b. 6/7

c. -3

d. 4

e. -5/2

Explanation: