Question 314078
Find the slope.
{{{m=(y2-y1)/(x2-x1)=(212-32)/(100-0)=180/100=9/5}}}
{{{y=mx+b=(9/5)x+b}}}
Use either point to solve for b.
(0,32)
{{{32=(9/5)(0)+b}}}
{{{b=32}}}
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{{{y=(9/5)x+32}}}
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To find the x-intercept, set y=0 and solve for x.
{{{y=(9/5)x+32}}}
{{{0=(9/5)x+32}}}
{{{(9/5)x=-32}}}
{{{x=-17.8}}}
(-17.8,0)
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To find the y-intercept, set x=0 and solve for y.
{{{y=(9/5)x+32}}}
{{{y=(9/5)(0)+32}}}
{{{y=32}}}
(0,32)
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{{{y=(9/5)x+32}}}
{{{y=(9/5)(10)+32}}}
{{{y=18+32=50}}}
(10,50)
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{{{y=(9/5)x+32}}}
{{{5y=9x+160}}}
{{{-9x+5y=160}}}
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{{{ drawing( 300, 300, -50, 150, -50, 250, grid(1),circle(100,212,3.5),circle(10,50,3.5),circle(0,32,3.5),circle(-17.8,0,3.5),graph( 300, 300, -50, 150, -50, 250, (9/5)x+32)) }}}