document.write( "Question 928171: Find the value of k so that the point (-2,10) is on the line y=kx-3k \n" ); document.write( "
Algebra.Com's Answer #563532 by TimothyLamb(4379)![]() ![]() You can put this solution on YOUR website! m = slope \n" ); document.write( "--- \n" ); document.write( "use the point-slope form of the line with the given point (-2,10): \n" ); document.write( "y - 10 = m(x + 2) \n" ); document.write( "y = mx + 2m + 10 \n" ); document.write( "y = mx + (2m + 10) \n" ); document.write( "--- \n" ); document.write( "equate to the given linear form: \n" ); document.write( "kx - 3k = mx + (2m + 10) \n" ); document.write( "--- \n" ); document.write( "equate \"like\" terms: \n" ); document.write( "--- \n" ); document.write( "equate the x terms: \n" ); document.write( "mx = kx \n" ); document.write( "m = k \n" ); document.write( "k = m \n" ); document.write( "--- \n" ); document.write( "equate the constant terms: \n" ); document.write( "-3k = (2m + 10) \n" ); document.write( "k = (2m + 10)/-3 \n" ); document.write( "--- \n" ); document.write( "equate the k expressions: \n" ); document.write( "m = (2m + 10)/-3 \n" ); document.write( "-3m = 2m + 10 \n" ); document.write( "-5m = 10 \n" ); document.write( "m = -2 \n" ); document.write( "--- \n" ); document.write( "answer: \n" ); document.write( "k = -2 \n" ); document.write( "--- \n" ); document.write( "Solve and graph linear equations: \n" ); document.write( "https://sooeet.com/math/linear-equation-solver.php \n" ); document.write( "--- \n" ); document.write( "Solve quadratic equations, quadratic formula: \n" ); document.write( "https://sooeet.com/math/quadratic-formula-solver.php \n" ); document.write( "--- \n" ); document.write( "Convert fractions, decimals, and percents: \n" ); document.write( "https://sooeet.com/math/fraction-decimal-percent.php \n" ); document.write( "--- \n" ); document.write( "Calculate and graph the linear regression of any data set: \n" ); document.write( "https://sooeet.com/math/linear-regression.php \n" ); document.write( " |