Question 60212
Find an equation of each line, and write it in slope intercept form

through (-2,3) and (6,-1)
In order to write the equation of a line, we need a slope and a point.  We don't have a slope, but we can find it when given two points, using the slope formula:{{{highlight(m=(y2-y1)/(x2-x1))}}}
(x1,y1)=(-2,3)  and (x2,y2)=(6,-1)
{{{m=(-1-3)/(6-(-2))}}}
{{{m=-4/(6+2)}}}
{{{m=-4/8}}}
{{{m=-1/2}}}
Now we can use the point slope formula to find the equation of a line:{{{highlight(y-y1=m(x-x1))}}}, m=slope, (x1,y1)=a given point.
m=-1/2 and (x1,y1)=(-2,3)
{{{y-3=(-1/2)(x-(-2))}}}
{{{y-3=(-1/2)(x+2)}}}
{{{y-3=(-1/2)x-2/2}}}
{{{y-3=(-1/2)x-1}}}
{{{y-3+3=(-1/2)x-1+3}}}
{{{highlight(y=(-1/2)x+2)}}} 
This is in slope intercept form: {{{highlight(y=mx+b)}}}
Happy Calculating!!!