Question

HELLP PLEASE I NEED THIS

Which of these pairs of points defines a line with a slope of -1?
A. (3, 10) and (3, 5)
B. (3, 10) and (5, 3)
C. (10, 3) and (15, -2)
D. (10, 3) and (3, 5)

Answer 1

C

Explanation:

A. (10-5)÷(3-3) = 5÷0 = Undefined

B. (10-3)÷(3-5) = 7÷-2 = -3.5

C. (3-(-2))÷(10-15) = 5÷-5 = -1

D. (3-5)÷(10-3) = -2÷7 = -²/7

Line slope calculation formula: The difference of the second components is divided by the difference of the first components.

Answer 2

C

Explanation:

`\mathsf{slope=(y_2-y_1)/(x_2-x_1)}`

where
`\mathsf{(x_1,y_1)}` and
`\mathsf{(x_2,y_2)}` are points on the line

A.

`\mathsf{slope=(5-10)/(3-3)=(-5)/(0)}`

slope is undefined

B.

`\mathsf{slope=(3-10)/(5-3)=-\frac72}`

C.

`\mathsf{slope=(-2-3)/(15-10)=-1}`

D.

`\mathsf{slope=(5-3)/(3-10)=-\frac27}`