Question 239867
Well first we need to find the slope of the line.  To do that we use the slope formula which is:<br>

{{{m = (y2-y1)/(x2-x1)}}}<br>

so plugging in we get:<br>

{{{m = (7-(-3))/(2-(-2))}}}
{{{m = (7+3)/(2+2)}}}
{{{m = (10)/(4)}}}
{{{m = 5/2}}}<br>

now that we have the slope there are 2 different ways we can get the equation of the line.  The first is using the point-slope formula.  The other is to use the slope intercept form of a line and then solving for b.  <br>

Method 1: point-slope formula
To use the point-slope formula we pick a point and plug in.  I picked (2,7) but it will work if you pick the other point as well.<br>

y-y1=m(x-x1)
y-7=5/2(x-2)
y=5/2x-5+7
y=5/2x+2<br>

Method 2: slope-intercept form<br>
y=mx+b
7=5/2(2)+b
7=5+b
2=b<br>

y = 5/2x+2.