Question 63163
find the slope
m = change of y / change of x
{{{ m = (3-4) / (5 - -2) }}}
{{{ m = -1/7 }}}


{{{ y=mx+b }}}
pick one of the ordered pairs and the m value and solve for b
{{{ 4 = (-1/7)(-2) + b }}}
{{{ 4 = 2/7 + b }}}
{{{ 28/7 = 2/7 + b }}}
{{{ 26/7 = b }}}


plug the slope and the b value into our good old friend y=mx+b
{{{ y = (-1/7)x + 26/7 }}}
This is slope intercept form ... if you need standard form (Ax + By = C)...
{{{ y = (-1/7)x + 26/7 }}}
Add the x value to both sides
{{{ (1/7)x + y = 26/7 }}}
multiply by 7 to get rid of the fraction
{{{ x + 7y = 26 }}}