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)\"\" \"About 
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Slope-intercept form is y = mx + b
\n" ); document.write( "m is the slope
\n" ); document.write( "b is the y-intercept\r
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\n" ); document.write( "\n" ); document.write( "For y = -3x + 10
\n" ); document.write( "slope = -3\r
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\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}
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