Question 184092
</pre><font size=4><b>
We use Point-Slope Form{{{system(m=(y[2]-y[1])/(x[2]-x[1]))}}} to get the {{{slope=m}}}---->(4,-26) and (-4,6)
where{{{system(y[2]=6,y[1]=-26,x[2]=-4,x[1]=4)}}}
continuing,
{{{m=(6-(-26))/(-4-4)=(6+26)/(-8)=32/-8=-4}}},Slope
In point (4,-26) we use Slope-Intercept Form{{{system(y=mx+b)}}} to get Y-Intercept,{{{b}}}:
{{{-26=-4(4)+b}}}
{{{b=-26+16=-10}}}, Y-Intercept
Therefore, point (4,-26) follows eqn: {{{highlight(y=-4x-10)}}} or {{{highlight(y+4x=-10)}}}, Std Form
.
Thru point (-4,6):
{{{6=-4(-4)+b}}}
{{{b=6-16=-10}}}, the same (should be)
We'll see the graph:
{{{drawing(400,400,-8,8,-28,10,grid(1),graph(400,400,-8,8,-28,10,-4x-10),green(circle(4,-26,.15)),green(circle(-4,6,.15)))}}}
Thank you,
Jojo</pre>