Question 259531
I need help with this problem: What is the standard form of an equation form of that passes through (3,0)and (6,-8). 
<pre><font size = 4 color ="indigo"><b>

Use the slope formula:

    y<sub>2</sub> - y<sub>1</sub>
m = —————————
    x<sub>2</sub> - x<sub>1</sub>

where (x<sub>1</sub>, y<sub>1</sub>) = (0,-1) and (x<sub>2</sub>, y<sub>2</sub>) = (3,1)  

     (1) - (-1)     2     
m = ———————————— = ——— = {{{2/3}}}
     (3) - (0)      3     

Now substitute in the point slope formula:

  y - y<sub>1</sub> = m(x - x<sub>1</sub>)

  y - (-1) = {{{2/3}}}(x - 0)

    y + 1  = {{{2/3}}}x

        y  - {{{2/3}}}x - 1

Here's the graph:

{{{drawing(400,400,-7,7, -7, 7,
  graph(400,400,-7,7, -7, 7, (2/3)x-1), locate(3,1,"(3,1)"), locate(0,-1,"(0,-1)"),

line(0+.1,-1,0-.1,-1), line(0,-1+.1,0,-1-.1), line(0+.1,-1+.1,0-.1,-1-.1), line(0+.1,-1-.1,0-.1,-1+.1),
line(3+.1,1,3-.1,1), line(3,1+.1,3,1-.1), line(3+.1,1+.1,3-.1,1-.1), line(3+.1,1-.1,3-.1,1+.1)
 )}}}

Edwin</pre>