Question

Find the value of k, if the points (-2,-3), (k, 4)
and (5.5) are collinear.​

Answer 1

hope u find it useful....

Answer 2

Step-by-step explanation:

Let

A(-2, -3)

B(k, 4)

C(5,5)

Since these three are collinear,

AB+BC=AC

AB=

AB=$\sqrt{( {k + 2})^{2} + ({4 + 3)}^{2} }$

BC=$\sqrt{( {k - 5})^{2} + {(4 - 5)}^{2} }$

AC=

$\sqrt{ {(5 + 2)}^{2} + ( {5 + 3)}^{2} }$

.....I hope you can solve after this on your own