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)![]() ![]() ![]() You can put this solution on YOUR website! A line in point-slope form: y = mx +b \n" ); document.write( "m = slope \n" ); document.write( "b = y-intercept (0,b) \n" ); document.write( ". \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 \n" ); document.write( ". \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 \n" ); document.write( ". \n" ); document.write( "y = -(1/3)x + b \n" ); document.write( ". \n" ); document.write( "use the point you want it go through to find 'b' \n" ); document.write( "(x,y) = (1,-6) \n" ); document.write( ". \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 \n" ); document.write( ". \n" ); document.write( "y = -(1/3)x -17/3 \n" ); document.write( ". \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 \n" ); document.write( ". \n" ); document.write( " |