Question 186899
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Line Eqn---->{{{2x-5y=13}}}
Following Slope-Intercept Form{{{system(y=mx+b)}}}
{{{5y=2x-13}}}--->{{{cross(5)y/cross(5)=(2x-13)/5}}}
{{{y=(2/5)x-(13/5)}}}, where{{{system(Slope=2/5,Yintercept=-13/5)}}}
Let fy=0:--->{{{0=(2/5)x-(13/5)}}}---->{{{(2/5)x=13/5}}}
{{{cross(2/5)x/cross(2/5)=(13/5)/(2/5)=(13/cross(5))(cross(5)/2)}}}
{{{highlight(x=13/2)}}}
Let fx=0:--->{{{y=(2/5)(0)-13/5=highlight(-13/5=y)}}}
Let's plot the intercepts:
{{{drawing(300,300,-6,10,-6,4,grid(1),graph(300,300,-6,10,-6,4,(2/5)x-(13/5)),green(circle(13/2,0,.15)),green(circle(0,-13/5,.15)))}}}
Thank you,
Jojo</pre>