Question

Find K, such that the points (-2,2), (2, 6), and (4, K) are collinear. Group of answer choices

Answer 1

Answer:

k = 8

Step-by-step explanation:

For the points to be collinear, then the slopes of each pair of points must be equal.

Calculate m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

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

m = $\frac{6-2}{2+2}$ = $\frac{4}{4}$ = 1

Repeat with

(x₁, y₁ ) = (2, 6) and (x₂, y₂ ) = (4, k)

m = $\frac{k-6}{4-2}$ = $\frac{k-6}{2}$, thus

$\frac{k-6}{2}$ = 1 ( multiply both sides by 2 )

k - 6 = 2 ( add 6 to both sides )

k = 8