document.write( "Question 1206809: What is the equation in slope-intercept form of the line that passes through the point (5, 0) and is parallel to the line represented by y = 1.2x + 3.8?\r
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document.write( "A. y = 1.2x - 6\r
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document.write( "B. y = -1.2x + 6\r
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document.write( "C. y = 1.2x + 5\r
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document.write( "D. y = -1.2x - 5 \n" );
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Algebra.Com's Answer #844456 by Theo(13342)![]() ![]() You can put this solution on YOUR website! general equation 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( "if the line is parallel, it has the same slope, so the equation for that line becomes y = 1.2 + b.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "if the line passes through the point (5,0), then x-coordinate is 5 and y-coordinate is 0.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "replace y with 0 and x with 5 in the equation to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "0 = 1.2 * 5 + b\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "solve for b to get b = -6.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "equation of the line parallel to the given line and passing through the point (5,0) is y = 1.2x - 6.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "here's what both lines look like on a graph.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " ![]() \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "you can see that the lines are parallel because the vertical distance between the lines is the same at x = 0 and x = 5. \n" ); document.write( "that would be 9.8 in both cases.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "at x = 0, the difference in y is 3.8 - -6 = 3.8 + 6 = 9.8 \n" ); document.write( "at x = 5, the difference in y is 9.8 - 0 = 9.8 \n" ); document.write( " |