document.write( "Question 268227: i am trying to use the given conditions to write an equation for the line slope intercept form: (10, 12) and parallel to y=3x-8. i just need to see how it is worked out im sure that i have the right answer but get confused trying to work backwards \n" ); document.write( "
Algebra.Com's Answer #196628 by Alan3354(69443)\"\" \"About 
You can put this solution on YOUR website!
Do it like this:
\n" ); document.write( "A line and a point example.
\n" ); document.write( "Write in standard form the eqation of a line that satisfies the given conditions. Perpendicular to 9x+3y=36, through (1,2)
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\n" ); document.write( "Find the slope of the line. Do that by putting the equation in slope-intercept form, y = mx + b. That means solve for y.
\n" ); document.write( "9x+3y = 36
\n" ); document.write( "3y= - 9x + 36
\n" ); document.write( "y = -3x + 13
\n" ); document.write( "The slope, m = -3
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\n" ); document.write( "The slope of lines parallel have the same slope.
\n" ); document.write( "The slope of lines perpendicular is the negative inverse, m = +1/3
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\n" ); document.write( "Use y = mx + b and the point (1,2) to find b.
\n" ); document.write( "2 = (1/3)*1 + b
\n" ); document.write( "b = 5/3
\n" ); document.write( "The equation is y = (1/3)x + 5/3 (slope-intercept form)
\n" ); document.write( "x - 3y = -5 (standard form)
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\n" ); document.write( "For further assistance, or to check your work, email me via the thank you note or at moralloophole@aol.com\r
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