Question 124769
Write the equation in either slope-intercept form or standard form:

The line through the points (0,12) and (5,8)<br><br>

Since you have a choice of which form to use, you should almost always pick slope-intercept. It is much easier in my opinion. You already know that the y-intercept is 12, so now all you need is the slope. You can find the slope using this formula:
{{{(y2-y1)/(x2-x1)}}}<br><br>

So, enter your numbers into the formula to get:
{{{(8-12)/(5-0)}}}<br><br>

Subtract:
{{{-4/5}}}<br><br>

Now you know the slope. The model of slope-intercept form is {{{y=mx+b}}}. m=slope and b=y-intercept. So, if you plug your slope and y-intercept into their appropriate positions, you get:
{{{y=(-4/5)x+12}}}
And that is your equation!