Question 772649
(*) Use formula for slope.  Compute the slope for the two points.
(*) Use either slope-intercept form for a line OR point-slope form for a line to form the equation for the line.
(*)  Rewrite your equation into standard form if you like; but put into slope-intercept form lets you see and read the y-intercept directly.  


Formula for slope, {{{m=(4-(-2))/(3-1)=6/2=3}}}, positive three.


To continue with slope-intercept form,  y=mx+b,
{{{y=3x+b}}}
{{{b=y-3x}}}
Substitute either given point to find b.
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OR
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To continue with point-slope form,   {{{m=(y-v)/(x-u)}}} in which the point (u,v) is one of the points on the line.
{{{3=(y-v)/(x-u)}}}
{{{3(x-u)=y-v}}}
{{{y-v=3(x-u)}}}
{{{y-v=3x-3u}}}
{{{y=3x-3u+v}}}
Substitute either given point for u and v to continue developing the particular equation.