Question

Can you solve this problem please​

Answer 1

Answer: K=11

Explanation:

Answer 2

Answer:

k = 11

Step-by-step explanation:

Given the points are collinear then the slopes between consecutive points are equal.

Using the slope formula

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (5, 1) and (x₂, y₂ ) = (1, - 1)

m = $\frac{-1-1}{1-5}$ = $\frac{-2}{-4}$ = $\frac{1}{2}$

Repeat with another 2 points and equate to $\frac{1}{2}$

with (x₁, y₁ ) = (1, - 1) and (x₂, y₂ ) = (k, 4)

m = $\frac{4+1}{k-1}$ , then

$\frac{5}{k-1}$ = $\frac{1}{2}$ ( cross- multiply )

k - 1 = 10 ( add 1 to both sides )

k = 11