document.write( "Question 73626: 1.Find the slope, given the two points\r
\n" ); document.write( "\n" ); document.write( "(-7/5, 3/10) and (1/5, -1/2).\r
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\n" ); document.write( "\n" ); document.write( "2. Write the equation of the line that is parallel to 3x = 4y + 5 and passes through the point (2, -3).
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Algebra.Com's Answer #52664 by funmath(2933)\"\" \"About 
You can put this solution on YOUR website!
1.Find the slope, given the two points\r
\n" ); document.write( "\n" ); document.write( "(-7/5, 3/10) and (1/5, -1/2).
\n" ); document.write( "When given two points and asked for a slope, use the slope formula:\"highlight%28m=%28y%5B2%5D-y%5B1%5D%29%2F%28x%5B2%5D-x%5B1%5D%29%29\", m=slope, (x1,y1) and (x2,y2) are the given points.
\n" ); document.write( "(x1,y1)=(-7/5,3/10) and (1/5,-1/2)
\n" ); document.write( "\"m=%28-1%2F2-3%2F10%29%2F%281%2F5-%28-7%2F5%29%29\"
\n" ); document.write( "\"m=%28-1%2F2-3%2F10%29%2F%281%2F5%2B7%2F5%29\"
\n" ); document.write( "\"m=%28%28-1%2F2%29%285%2F5%29-3%2F10%29%2F%281%2F5%2B7%2F5%29\"
\n" ); document.write( "\"m=%28-5%2F10-3%2F10%29%2F%281%2F5%2B7%2F5%29\"
\n" ); document.write( "\"m=%28-8%2F10%29%2F%288%2F5%29\"
\n" ); document.write( "\"m=%28-8%2F10%29%2A%285%2F8%29\"
\n" ); document.write( "\"m=-40%2F80\"
\n" ); document.write( "\"highlight%28m=-1%2F2%29\"
\n" ); document.write( ":\r
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\n" ); document.write( "\n" ); document.write( "2. Write the equation of the line that is parallel to 3x = 4y + 5 and passes through the point (2, -3).
\n" ); document.write( "In order to wirte an equation of a line, you need a point and a slope. They gave you the point, you need to find the slope. Parallel lines have equal slopes. You have the equation of a parallel line. To find its slope, put it in slope intercept form. \"highlight%28y=mx%2Bb%29\", m=slope, (0,b)=y-intercept.
\n" ); document.write( "\"3x=4y%2B5\"
\n" ); document.write( "\"3x-5=4y%2B5-5\"
\n" ); document.write( "\"3x-5=4y\"
\n" ); document.write( "\"3x%2F4-5%2F4=4y%2F4\"
\n" ); document.write( "\"%283%2F4%29x-5%2F4=y\"
\n" ); document.write( "\"y=%283%2F4%29x-5%2F4\"
\n" ); document.write( "The coefficient of x is your slope. m=3/4
\n" ); document.write( "Now that you have both a slope and a point, you can use the point slope formula to find the equation of the line. \"highlight%28y-y%5B1%5D=m%28x-x%5B1%5D%29%29\", m=slope and (x1,y1) is the given point.
\n" ); document.write( "m=3/4 and (x1,y1)=(2,-3)
\n" ); document.write( "\"y-%28-3%29=%283%2F4%29%28x-2%29\"
\n" ); document.write( "\"y%2B3=%283%2F4%29%28x-2%29\"
\n" ); document.write( "\"4%28y%2B3%29=4%283%2F4%29%28x-2%29\"
\n" ); document.write( "\"4y%2B12=3%28x-2%29\"
\n" ); document.write( "\"4y%2B12=3x-6\"
\n" ); document.write( "\"4y%2B12-12=3x-6-12\"
\n" ); document.write( "\"4y=3x-18\"*
\n" ); document.write( "\"-3x%2B4y=3x-3x-18\"
\n" ); document.write( "\"-3x%2B4y=-18\"
\n" ); document.write( "\"-1%28-3x%2B4y%29=-1%28-18%29\"
\n" ); document.write( "\"highlight%283x-4y=18%29\" This is the general or standard form of the equation of the line.
\n" ); document.write( "*If you need the slope intercept form of the equation of the line, solve for y.
\n" ); document.write( "\"4y=3x-18\"
\n" ); document.write( "\"4y%2F4=3x%2F4-18%2F4\"
\n" ); document.write( "\"highlight%28y=%283%2F4%29x-9%2F2%29\"
\n" ); document.write( "Happy Calculating!!!!
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