Question 317852
Determine "k" so that the line through (k+2,k) and (3,2) has slope 3.
:
The slope formula: {{{(y2-y1)/(x2-x1)}}} = m
Assign the values as follows:
x1 = (k+2) y = k
x2 = 3; y2 = 2
m = 3
:
{{{(2 - k)/(3 - (k+2))}}} = 3
:
{{{(2 - k)/(3 - k - 2))}}} = 3
:
{{{(2 - k)/(1 - k)}}} = 3
2 - k = 3(1 - k)
:
2 - k = 3 - 3k
:
-k + 3k = 3 - 2
:
2k = 1
:
k = {{{1/2}}}, or .5
:
:
Check the slope
{{{(2 - .5)/(3-2.5))}}} = 
{{{1.5/.5}}} = 3