document.write( "Question 516783: i would like a deeper explination of point-slope form with a question like: write and equation of th line that passes through (1,-6) amd is perpendicular to the line y=3x+7 thank you verry much this is greatly appreciated \n" ); document.write( "
Algebra.Com's Answer #344499 by oberobic(2304)\"\" \"About 
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A line in point-slope form: y = mx +b
\n" ); document.write( "m = slope
\n" ); document.write( "b = y-intercept (0,b)
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\n" ); document.write( "y = 3x+7
\n" ); document.write( "slope =3
\n" ); document.write( "y-intercept = (0,7)
\n" ); document.write( "if x = -7/3, then y =0
\n" ); document.write( "x-intercept = (-7/3, 0)
\n" ); document.write( "with two points you draw a line
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\n" ); document.write( "a perpendicular line has a slope = to the negative inverse of the first equation
\n" ); document.write( "so the slope of the second equation will be -1/3
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\n" ); document.write( "y = -(1/3)x + b
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\n" ); document.write( "use the point you want it go through to find 'b'
\n" ); document.write( "(x,y) = (1,-6)
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\n" ); document.write( "-6 = -(1/3)(1) + b
\n" ); document.write( "b = -6 + 1/3
\n" ); document.write( "b = -18/3 +1/3
\n" ); document.write( "b = -17/3
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\n" ); document.write( "y = -(1/3)x -17/3
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\n" ); document.write( "The following graphs the two lines.
\n" ); document.write( "The red line is y =3x+7
\n" ); document.write( "The green line is y = -(1/3)x -17/3
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\n" ); document.write( "\"+graph%28500%2C500%2C-10%2C10%2C-10%2C10%2C3%2Ax%2B7%2C-1%2F3%2Ax-17%2F3%29+\"
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