Question 897190
One of the problems on my geometry homework is "Write the equation of each line in slope-intercept form."
through (-6,2) and (3,6)
<pre>
(- 6, 2) and (3, 6)
Slope, or m = {{{(2 - 6)/(- 6 - 3)}}} or {{{(- 4)/(- 9)}}},or {{{4/9}}}
Point-slope form, with point = (3, 6), and m = {{{4/9}}} is: {{{y - y[1] = m(x - x[1])}}} 
{{{y - 6 = (4/9)(x - 3)}}} 
{{{y - 6 = (4/9)x - 4/3}}}
{{{y = (4/9)x - 4/3 + 6}}}
{{{y = (4/9)x - 4/3 + 18/3}}}
{{{y = (4/9)x + 14/3}}}, or {{{highlight_green(4x - 9y = - 42)}}}