document.write( "Question 60211: please help solve.\r
\n" ); document.write( "\n" ); document.write( "find and equation of each line, and write it in slope intercept form\r
\n" ); document.write( "\n" ); document.write( "through (-7,2) and perpendicular to y=2x
\n" ); document.write( " \n" ); document.write( "

Algebra.Com's Answer #41330 by funmath(2933) $\"\"$ $\"About$

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\n" ); document.write( "find and equation of each line, and write it in slope intercept form\r
\n" ); document.write( "\n" ); document.write( "through (-7,2) and perpendicular to y=2x
\n" ); document.write( "The slope of a line written in slope intercept form $\"highlight%28y=mx%2Bb%29\"$ is m.
\n" ); document.write( "The slope of the line given is $\"y=highlight%282%29x\"$ m=2.
\n" ); document.write( "Perpendicular lines are lines that have slopes that are negative reciprocals of each other (opposite signs and upside down).
\n" ); document.write( ":
\n" ); document.write( "Therefore the slope of our line will be: m=-1/2
\n" ); document.write( "We can find the equation of the line using the point slope formula $\"highlight%28y-y1=m%28x-x1%29%29\"$
\n" ); document.write( "m=-1/2 and (x1,y1)=(-7,2)
\n" ); document.write( " $\"y-2=%28-1%2F2%29%28x-%28-7%29%29\"$
\n" ); document.write( " $\"y-2=%28-1%2F2%29%28x%2B7%29\"$
\n" ); document.write( " $\"2%28y-2%29=2%28-1%2F2%29%28x%2B7%29\"$
\n" ); document.write( " $\"2y-4=-1%28x%2B7%29\"$
\n" ); document.write( " $\"2y-4=-x-7\"$
\n" ); document.write( " $\"2y-4%2B4=-x-7%2B4\"$
\n" ); document.write( " $\"2y=-x-3\"$
\n" ); document.write( " $\"2y%2F2=-x%2F2-3%2F2\"$
\n" ); document.write( " $\"highlight%28y=%28-1%2F2%29x-3%2F2%29\"$ <---Slope intercept form of the line.
\n" ); document.write( "Happy Calculating!!!
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