Question 54361
{{{graph(300,200,-15.16126,15.16126,-10,10,(-3/4)x+3)}}}  
(a)Find the slope and y intercept of this line.
slope m=-3/4  y-intercept (0,b)=(0,3)
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(b)Write the equation in slope intercept form.
slope intercept form is {{{highlight(y=mx+b)}}} where m=slope and (0,b)= y-intercept:
{{{y=(-3/4)x+3}}}
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c)Rewrite the equation in standard form.
Standard Form is {{{highlight(Ax+By=C)}}} where A,B,and C are integers, most books insist that A be positive.
{{{y=-(3/4)x+3}}}
{{{(3/4)x+y=(3/4)x-(3/4)x+3}}}
{{{(3/4)x+y=3}}}
{{{4(3/4)x+4(y)=4(3)}}}
{{{3x+4y=12}}}
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d)Draw a line that is perpendicular and write its equation
Perpendicular lines have slopes that are negative reciprocals of each other.
{{{y=(4/3)x+5}}}
{{{graph(300,200,-15.16129,15.16129,-10,10,-(3/4)x+3,(4/3)x+5)}}}
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e)Draw a line that is perpendicuar to line in part d, write its equation
{{{y=-(3/4)x+2}}}
{{{graph(300,200,-15.16129,15.16129,-10,10,-(3/4)x+3,(4/3)x+5,-(3/4)x+2)}}}
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f)Draw a line that is perpendicular to line in part e, write its equation
{{{y=(4/3)x-2}}}
{{{graph(300,200,-15.16129,15.16129,-10,10,(-3/4)x+3,(4/3)x+5,(-3/4)x+2,(4/3)x-2)}}}
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g)What shape did you make with your graph?
A Rectangle, rectangles have perpendicular angles.
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Try this yourself with a different line---it helps to see things develope and recognize equations as lines and rectangles.  It gives algebra a purpose.  
Happy Calculating!!!