Question 185576
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The Line Eqn given {{{y=3+2x}}} has a {{{slope=m[1]=2}}}, accdg. to our Slope-Intercept Form --->{{{y=mx+b}}}.
*Remember: Parallel Lines have the same Slope,{{{m[1]=m[2]}}}
Therefore thru point (3,-4), (Slope-Intercept Form)
{{{-4=2*3+b}}}
{{{b=-4-6=-10}}}, Y-Intercept
So the eqn will be---->{{{highlight(y=2x-10)}}}
We'll see the graph;
{{{drawing(400,400,-8,8,-15,8,grid(1),graph(400,400,-8,8,-15,8,2x-10,2x+3),blue(circle(3,-4,.20)))}}}----> RED LINE,>>{{{y=2x-10}}}; GREEN LINE>>> {{{y=3+2x}}}
Thank you,
Jojo</pre>