document.write( "Question 164865: Write an equation of the line through the given point with the given slope in slope intercept form. (3,3); m=-6 \n" ); document.write( "
Algebra.Com's Answer #121482 by gonzo(654)\"\" \"About 
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slope intercept form of equation going through the point (x1,y1) is
\n" ); document.write( "(y-y1) = (x-x1)*m
\n" ); document.write( "where m is the slope.
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\n" ); document.write( "you are given the following:
\n" ); document.write( "m = -6
\n" ); document.write( "y1 = 3
\n" ); document.write( "x1 = 3
\n" ); document.write( "equation becomes
\n" ); document.write( "y-3 = (x-3)*-6
\n" ); document.write( "simplifying:
\n" ); document.write( "y-3 = -6x + 18
\n" ); document.write( "adding 3 to both sides
\n" ); document.write( "y = -6x + 21
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\n" ); document.write( "that's the equation in slope intercept form (y = mx+b)
\n" ); document.write( "m is the slope = -6
\n" ); document.write( "b is the y intercept = 21
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\n" ); document.write( "to prove the y intercept is correct, let x = 0.
\n" ); document.write( "then y = 21
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\n" ); document.write( "to prove this equation goes through the point (3,3), then substitute 3 for x and 3 for y.
\n" ); document.write( "y = -6x + 21
\n" ); document.write( "3 = -6(3) + 21
\n" ); document.write( "3 = -18 + 21
\n" ); document.write( "add 18 to both sides.
\n" ); document.write( "21 = 21
\n" ); document.write( "proven.
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