Question 1163006
Given two ordered pair, wanting equation of line in standard form:


Slope,  {{{(5/2-(-1/2))/(-1/2-(3/2))=-3/2}}}


Pick either point, as example, (3/2,-1/2).

{{{y=mx+b}}}
{{{y-mx=b}}}
{{{b=y-mx}}}
{{{b=-1/2-(-3/2)(3/2)}}}
{{{b=7/4}}}

In slope-intercept form, {{{y=-(3/2)x+7/4}}}


{{{y+(3/2)x=7/4}}}

Multiply both sides by 4.

{{{4y+6x=7}}}

{{{highlight(6x+4y=7)}}}