Question

Which pair of points has a slope of 4?

a. (1, 4), (–1, 4)

b. (0, 4), (4, 0)

c. (0, –3), (1, 1)

d. (3, 0), (–1, –1)

Answer 1

Answer: From the calculations, the pair of points with a slope of 4 is option c. (0, -3), (1, 1).

Step-by-step explanation:

To determine the slope between 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. (1, 4), (–1, 4)

The change in y is 4 - 4 = 0

The change in x is -1 - 1 = -2

slope = 0 / -2 = 0

b. (0, 4), (4, 0)

The change in y is 0 - 4 = -4

The change in x is 4 - 0 = 4

slope = -4 / 4 = -1

c. (0, –3), (1, 1)

The change in y is 1 - (-3) = 4

The change in x is 1 - 0 = 1

slope = 4 / 1 = 4

d. (3, 0), (–1, –1)

The change in y is -1 - 0 = -1

The change in x is -1 - 3 = -4

slope = -1 / -4 = 1/4

Answer 2

c. (0, –3), (1, 1)

Explanation:

To find the slope, we use the slope formula

m = ( y2-y1)/(x2-x1)

a. (1, 4), (–1, 4)

m = (4-4)/(-1-1) = 0/-2 = 0

b. (0, 4), (4, 0)

m = ( 4-0)/(0-4) = 4/-4 = -1

c. (0, –3), (1, 1)

m = ( -3-1)/(0-1) -4/-1 = 4

d. (3, 0), (–1, –1)

m = (0--1)/(3 - -1) =1/4