document.write( "Question 807073: Write an equation of the line that is parallel to y=5x+4 and passes through the point -4,3. \n" ); document.write( "
Algebra.Com's Answer #486469 by TimothyLamb(4379)![]() ![]() You can put this solution on YOUR website! Parallel lines have equal slope. \n" ); document.write( "--- \n" ); document.write( "Given the line L1 in slope-intercept form: y = 5x + 4 \n" ); document.write( "its slope is: 5 \n" ); document.write( "--- \n" ); document.write( "To find a line L2 parallel L1, and passing through the point p2 = (-4, 3), \n" ); document.write( "use the point-slope form: y - y1 = m(x - x1) \n" ); document.write( "--- \n" ); document.write( "y - 3 = 5(x - -4) \n" ); document.write( "y - 3 = 5x + 20 \n" ); document.write( "y = 5x + 20 + 3 \n" ); document.write( "--- \n" ); document.write( "Answer, an equation for line L2 is: \n" ); document.write( "y = 5x + 23 \n" ); document.write( "--- \n" ); document.write( "Check the work by plugging-in point p2 into the equation: \n" ); document.write( "--- \n" ); document.write( "3 = 5(-4) + 23 \n" ); document.write( "3 = -20 + 23 \n" ); document.write( "3 = 3 \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( " |