Question

I reallly neeeeeeed help so anybody??

Answer 1

D

Explanation:

Since the ordered pairs are linear then the slope m between corresponding points will be equal.

To calculate m use the slope formula

m = ( y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (6, 7) and (x₂, y₂ ) = (2, 5)

m =
`(5-7)/(2-6)` =
`(-2)/(-4)` =
`(1)/(2)`

Repeat with (x₁, y₁ ) = (6, 7) and (x₂, y₂ ) = (k, 11)

m =
`(11-7)/(k-6)` =
`(1)/(2)`, that is

`(4)/(k-6)` =
`(1)/(2)` ( cross- multiply )

k - 6 = 8 ( add 6 to both sides )

k = 14 → D