document.write( "Question 767508: Write an equation in slope intercept form for the line that passes through the given point and is parallel to the graph of (-2,4), y= -3x + 10 \n" ); document.write( "
Algebra.Com's Answer #467666 by algebrahouse.com(1659)![]() ![]() You can put this solution on YOUR website! Slope-intercept form is y = mx + b \n" ); document.write( "m is the slope \n" ); document.write( "b is the y-intercept\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "For y = -3x + 10 \n" ); document.write( "slope = -3\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Parallel lines have equal slopes, therefore the slope of the new line will be -3.\r \n" ); document.write( "\n" ); document.write( "y - y1 = m(x - x1) {point-slope form} \n" ); document.write( "(x1,y1) is the point and m is the slope \n" ); document.write( "y - 4 = -3[x - (-2)] {substituted point and slope into point-slope form} \n" ); document.write( "y - 4 = -3(x + 2) {simplified double negative signs} \n" ); document.write( "y - 4 = -3x - 6 {used distributive property} \n" ); document.write( "y = -3x - 2 {added 4 to each side} \n" ); document.write( " For more help from me, visit: www.algebrahouse.com \n" ); document.write( " |