Question

83. For what value of K will the points (1, 4), (-3, 16) and (k, -2) lie on one straight line.​

Answer 1

Answer:

I don't know

Step-by-step explanation:

I don't know

Answer 2

Answer:

k = 3

Step-by-step explanation:

If the points lie on the same line then the slope between the points will be equal.

Calculate the slope m using the slope formula

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

with (x₁, y₁ ) = (1, 4) and (x₂, y₂ ) = (- 3, 16)

m = $\frac{16-4}{-3-1}$ = $\frac{12}{-4}$ = - 3

Repeat the process and equate to - 3

with (x₁, y₁ ) = (1,4) and (x₂, y₂ ) = (k, - 2)

m = $\frac{-2-4}{k-1}$ = $\frac{-6}{k-1}$ , then

$\frac{-6}{k-1}$ = - 3 ( multiply both sides by k - 1 )

- 6 = - 3(k - 1) ← divide both sides by - 3

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

3 = k