document.write( "Question 48954: what is the equation of the line going through (5,3) and (7,-8)
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Algebra.Com's Answer #32425 by tutorcecilia(2152)![]() ![]() You can put this solution on YOUR website! (5,3) and (7,-8) [Points on a line] \n" ); document.write( "m = (y2-y1)/x2-x1) [Formula for the slope of a line] \n" ); document.write( "m = ((-8)-3)/(7-5) [Plug-in the values] \n" ); document.write( "m = -11/2 [The slope of the line] \n" ); document.write( ". \n" ); document.write( "y = mx+b [The slope-intercept formula for the equation of a line] \n" ); document.write( "y = the y-value of a point on the line \n" ); document.write( "m = the slope of the line \n" ); document.write( "x = the corresponding x-value for a point on the line \n" ); document.write( "b = the y-intercept; it is where the line crosses the y-axis (0, b) \n" ); document.write( ". \n" ); document.write( "y = mx + b \n" ); document.write( "3 = (-11/2)(5) + b [Pick a point and plug-in the values] \n" ); document.write( "3 = (-55/2) + b [Solve for \"b\"] \n" ); document.write( "(55/2) + (3) = b \n" ); document.write( "61/2 = b \n" ); document.write( ". \n" ); document.write( "y=(-11/2)x + (61/2) [Plug-in the values of the slope and y-intercept][Final answer] \n" ); document.write( ". \n" ); document.write( "Check by plugging the values for either of the original points\r \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |