Question 334473
Given points A (k, 5) and B (6,8), find k so that the slope of line AB is 2/3. How do I solve this?
<pre><b>
You plug in the slope formula just like you would if there were
a number there instead of the letter k:

{{{m}}}{{{""=""}}}{{{(y[2]-y[1])/(x[2]-x[1])}}}

{{{m}}}{{{""=""}}}{{{(8-5)/(6-k)}}}

{{{m}}}{{{""=""}}}{{{3/(6-k)}}}

You are told that the slope is {{{2/3}}} so also substitute 
that for the slope {{{m}}}:

{{{2/3}}}{{{""=""}}}{{{3/(6-k)}}}

Do you know how to solve that for k?  If not post again asking how.

You will get:

{{{k}}}{{{""=""}}}{{{3/2}}}

Edwin</pre>