document.write( "Question 629918: Write the equation in slope-intercept form of the line containing the points (4,6) and (2,7) \n" ); document.write( "

Algebra.Com's Answer #396588 by Charles3475(23) $\"\"$ $\"About$

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I would first compute the slope (m) as Δy/Δx = (y2 – y1) /(x2 – x1)\r
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\n" ); document.write( "\n" ); document.write( "m = (7-6)/(2-4) = -1/2\r
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\n" ); document.write( "\n" ); document.write( "The equation for a line is y = mx + b; where m is the slope and b is the y intercept.\r
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\n" ); document.write( "\n" ); document.write( "So we know that the equation is y = -1/2*x + b; but we need to solve for b.\r
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\n" ); document.write( "\n" ); document.write( "Select either data point and use it to solve for b by enetring the data into the equation. I will use the point (4,6).\r
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\n" ); document.write( "\n" ); document.write( "6 = -1/2*4 + b\r
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\n" ); document.write( "\n" ); document.write( "6 = -2 + b\r
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\n" ); document.write( "\n" ); document.write( "b = 8\r
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\n" ); document.write( "\n" ); document.write( "So the equation is y = -1/2*x + 8\r
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\n" ); document.write( "\n" ); document.write( "Check by testing with both data points. \n" ); document.write( "

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