document.write( "Question 641713: The slope of a line is 16 and the point (2, 3) is on the line. Express the line in slope-intercept form.
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Algebra.Com's Answer #403770 by DrBeeee(684)![]() ![]() ![]() You can put this solution on YOUR website! You need \n" ); document.write( "(1) y = mx + b \n" ); document.write( "where the constant m is the slope and the constant b is the y-intercept. \n" ); document.write( "Your problem statment provides \n" ); document.write( "(2) m = 16 \n" ); document.write( "To get b, substitute the point (2,3) and m into (1) to get \n" ); document.write( "(2) 3 = 16*2 + b \n" ); document.write( "Solve (2) for b \n" ); document.write( "(3) b = -29 \n" ); document.write( "Your answer is \n" ); document.write( "(4) y = 16x - 29 \n" ); document.write( "To check let (x,y) = (2,3) \n" ); document.write( "Is (3 = 16*2 -29)? \n" ); document.write( "Is (3 = 32 - 29)? \n" ); document.write( "Is (3 = 3)? Yes \n" ); document.write( "There is another technique to obtain (4) from m and the point (2,3). \n" ); document.write( "Use \n" ); document.write( "(5) (y - 3) = 16*(x - 2) \n" ); document.write( "Simplifying (5) yields \n" ); document.write( "(6) y = 16x -29, which is the same as (4) \n" ); document.write( " \n" ); document.write( " |