Question 191299
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Given: ( 1, 5 ) ( 4, 8 )


Find the Slope, m :
{{{m=(y[2]-y[1])/(x[2]-x[1])=(8-5)/(4-1)=3/3=red(1)}}},= Slope



Thru point (1,5) via Slope-Intercept form
{{{y=mx+b}}}
{{{5=1*1+b}}}
{{{b=5-1=4}}}, Y-Intercept


It follows, {{{red(y=x+4)}}} ----> Line Eqn that will pass to the given points.


Let fy=0:
{{{0=x+4}}} ----> {{{red(x=-4)}}}, X-Interecpt
Let fx=0:
{{{y=0+4=red(4)}}}, Y-Intercept


We'll see graph,
{{{drawing(400,400,-8,8,-4,12,graph(400,400,-8,8,-4,12,x+4),circle(-4,0,.12),circle(0,4,.12),green(circle(1,5,.15)),green(circle(4,8,.15)))}}}


Thank you,
Jojo</font>