Question

Which of these pairs of points

defines a line with a slope ?
A) (0, 4) and (7,5)
B) (4, 0) and (7,5)
C) (4, 0) and (5, 7)
D) (0, 4) and (5, 7)

Answer 1

D. (0,4) and (5,7)

Explanation:

I did the test

Answer 2

If the slope is 1/7 the points are A) (0, 4) and (7,5)

If the slope is 5/3 the points are B) (4, 0) and (7,5)

If the slope is 7 the points are C) (4, 0) and (5, 7)

If the slope is 3/5 the points are D) (0, 4) and (5, 7)

Explanation:

we know that

The formula to calculate the slope between two points is equal to

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

Calculate the slope of each case

case A) (0, 4) and (7,5)

substitute in the formula

`m=(5-4)/(7-0)`

`m=(1)/(7)`

case B) (4, 0) and (7,5)

substitute in the formula

`m=(5-0)/(7-4)`

`m=(5)/(3)`

case C) (4, 0) and (5,7)

substitute in the formula

`m=(7-0)/(5-4)`

`m=(7)/(1)=7`

case D) (0,4) and (5,7)

substitute in the formula

`m=(7-4)/(5-0)`

`m=(3)/(5)`