document.write( "Question 54361: Draw a line that crosses both the x and y axes.
\n" ); document.write( "a)Find the slope and y intercept of this line
\n" ); document.write( "b)Write the equation in slope intercept form
\n" ); document.write( "c)Rewrite the equation in standard form
\n" ); document.write( "d)Draw a line that is perpendicular and write its equation
\n" ); document.write( "e)Draw a line that is perpendicuar to line in part d, write its equation
\n" ); document.write( "f)Draw a line tha tis perpendicular to line in part e, write its equation
\n" ); document.write( "g)What shape did you make with your graph?
\n" ); document.write( "

Algebra.Com's Answer #36848 by funmath(2933)\"\" \"About 
You can put this solution on YOUR website!
\"graph%28300%2C200%2C-15.16126%2C15.16126%2C-10%2C10%2C%28-3%2F4%29x%2B3%29\"
\n" ); document.write( "(a)Find the slope and y intercept of this line.
\n" ); document.write( "slope m=-3/4 y-intercept (0,b)=(0,3)
\n" ); document.write( ":
\n" ); document.write( "(b)Write the equation in slope intercept form.
\n" ); document.write( "slope intercept form is \"highlight%28y=mx%2Bb%29\" where m=slope and (0,b)= y-intercept:
\n" ); document.write( "\"y=%28-3%2F4%29x%2B3\"
\n" ); document.write( ":
\n" ); document.write( "c)Rewrite the equation in standard form.
\n" ); document.write( "Standard Form is \"highlight%28Ax%2BBy=C%29\" where A,B,and C are integers, most books insist that A be positive.
\n" ); document.write( "\"y=-%283%2F4%29x%2B3\"
\n" ); document.write( "\"%283%2F4%29x%2By=%283%2F4%29x-%283%2F4%29x%2B3\"
\n" ); document.write( "\"%283%2F4%29x%2By=3\"
\n" ); document.write( "\"4%283%2F4%29x%2B4%28y%29=4%283%29\"
\n" ); document.write( "\"3x%2B4y=12\"
\n" ); document.write( ":
\n" ); document.write( "d)Draw a line that is perpendicular and write its equation
\n" ); document.write( "Perpendicular lines have slopes that are negative reciprocals of each other.
\n" ); document.write( "\"y=%284%2F3%29x%2B5\"
\n" ); document.write( "
\n" ); document.write( ":
\n" ); document.write( "e)Draw a line that is perpendicuar to line in part d, write its equation
\n" ); document.write( "\"y=-%283%2F4%29x%2B2\"
\n" ); document.write( "
\n" ); document.write( ":
\n" ); document.write( "f)Draw a line that is perpendicular to line in part e, write its equation
\n" ); document.write( "\"y=%284%2F3%29x-2\"
\n" ); document.write( "
\n" ); document.write( ":
\n" ); document.write( "g)What shape did you make with your graph?
\n" ); document.write( "A Rectangle, rectangles have perpendicular angles.
\n" ); document.write( ":
\n" ); document.write( "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.
\n" ); document.write( "Happy Calculating!!!
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