Question 173660
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points (-5,9) and (-5,-2):
Via {{{m=(y[2]-y[1])/(x[2]-x[1])}}}
where------->{{{system(y[2]=-2,y[1]=9,x[2]=-5,x[1]=-5)}}}
Subst.
{{{m=(-2-9)/(-5-(-5))=-11/(-5+5)=-11}}}, SLOPE
Thru points (-5,9):
Via Slope Intercept: {{{y=mx+b}}}
For y-intercept (b):
{{{9=-11(-5)+b}}}
{{{9=55+b}}}------>{{{9-55=b}}}
{{{b=-46}}}
.
So therefore, the eqn:-->{{{highlight(y=-11x-46)}}}, Line 1 (RED) (Answer)
Thr points (-5,-2):
{{{-2=-11(-5)+b}}}
{{{-2=55+b}}} ----->{{{-2-55=b}}}
{{{b=-57}}}
.
So therefore, the eqn:--->{{{highlight(y=-11x-57)}}}, Line 2 (GREEN)(Answer)
We see the graph:
{{{drawing(800,800,-10,10,-60,20,grid(1),graph(800,800,-10,10,-60,20,-11x-46,-11x-57),blue(circle(-5,-2,.15)),blue(circle(-5,9,.15)))}}}---------> see points (-5,9) & (-5,-2) as Line 1 & Line 2 pass thru
Thank you,
Jojo</pre>