Question

8. For which of the following sets of ordered pairs will the slope between the two points be -3 ? A. (2,4) and (3.8) B. (4,1) and (4.6) C. (1.3) and (-5, -5) D. (1,0) and (0,3)

Answer 1

To find the slope between two points, we use the formula (y2 - y1) / (x2 - x1). By using this formula, we can determine the slope for each set of ordered pairs and find that the set with a slope of -3 is (1,0) and (0,3), which corresponds to option D.

Step-by-step explanation:

To find the slope between two points, we can use the formula m = (y2 - y1) / (x2 - x1). Let's calculate the slopes for each set of ordered pairs:

A. (2,4) and (3,8): m = (8 - 4) / (3 - 2) = 4 / 1 = 4

B. (4,1) and (4,6): m = (6 - 1) / (4 - 4) = 5 / 0, undefined slope

C. (1,-3) and (-5,-5): m = (-5 - (-3)) / (-5 - 1) = -8 / -6 = 4/3

D. (1,0) and (0,3): m = (3 - 0) / (0 - 1) = 3 / -1 = -3

Therefore, the set of ordered pairs with a slope of -3 is (1,0) and (0,3), which corresponds to option D.

Answer 2

`\begin{gathered} slope=(y_2-y_1)/(x_2-x_1) \\ slope=(3-0)/(0-1) \\ \text{slope}=(3)/(-1) \\ \text{slope}=-3 \end{gathered}`

D. (1,0) and (0,3)​