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First, remember that parallel lines have the same slope and perpendicular lines have \"opposite reciprocal\" slopes. An example of perpendicular would be 4/3 vs. -3/4.
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\n" ); document.write( "There are three forms of the linear equation, each useful for different things:
\n" ); document.write( "1)Slope-intercept form: useful to find slope and y-intercept
\n" ); document.write( "2) Standard Form: useful for finding x and y intercepts
\n" ); document.write( "3) Point-slope form: useful for finding the equation of the line with a given slope through a given point.
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\n" ); document.write( "1) Your teacher gave these equations to you in Standard form (blah!). Let's convert to slope-intercept to find the slope:
\n" ); document.write( "-3x + 2y = -5
\n" ); document.write( " 2y = 3x - 5 (added 3x to both sides)
\n" ); document.write( " y = 3/2x =- 5/2 (divided both sides by 2)
\n" ); document.write( "We now see the slope is 3/2. The perpendicular slope would be -2/3.
\n" ); document.write( "Next, \"through (-2, -1)... Use point-slope form.
\n" ); document.write( "y - y1 = m(x - x1)
\n" ); document.write( "y - -1 = -2/3(x - -2)
\n" ); document.write( "y + 1 = -2/3(x + 2)
\n" ); document.write( "y + 1 = -2/3x - 4/3 (distributed the -2/3)
\n" ); document.write( "y = -2/3x - 7/3 (subtracted 1 from both sides)
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\n" ); document.write( "Your other to questions can be answered in the exact same way EXCEPT that 2) is asking for parallel. In this case, use the same slope you get when converting -2x - 3y = -5 to slope-intercept form. \n" ); document.write( "