document.write( "Question 233716: ((( write the equation of the line passing through each of the given points with the indicated slope. Give your results in slope intercept form, where possible. (1 , -4), m = -4 )))
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document.write( "Please help with this problem. I am confused on this one. I think the equation would be y = -4x + 0 but I am not sure \n" );
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Algebra.Com's Answer #172472 by Theo(13342)![]() ![]() You can put this solution on YOUR website! m = -4 means slope = -4.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "slope-intercept form of equation of a straight line is y = mx + b.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "m is the slope.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "b is the y-intercept.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "your equation starts of with the slope-intercept generic form of y = mx + b\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "replace m with -4 to get y = -4x + b\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "your line goes through the point (x,y) = (1,-4)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "that means the x-coordinate is 1 and the y coordinate is -4.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "to find the y-intercept, you replace y with -4 and x with 1 in the equation and solve for b.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "your equation of y = -4x + b becomes:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-4 = (-4 * 1) + b\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "This becomes:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-4 = -4 + b\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "add 4 to both sides of this equation to get:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "b = 0\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Your equation that was:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "y = -4x + b becomes:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "y = -4x + 0 which becomes:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "y = -4x\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Looks like you got it right.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "A graph of your equation look like:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "It's got a slope of -4 and it passes through the point (x,y) = (1,-4)\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "when x = 1, y = -4x means that y = -4 * 1 which means that y = -4\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "the graph confirms that.\r \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( " \n" ); document.write( "\n" ); document.write( " \n" ); document.write( " |