document.write( "Question 1058355: Write an equation of the line through the given point (-3, -6) with the given slope m = 3. Write the equation in slope-intercept form. \n" ); document.write( "
Algebra.Com's Answer #673389 by solve_for_x(190)\"\" \"About 
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The slope-intercept form of the equation of a line is:\r
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\n" ); document.write( "\n" ); document.write( "y = mx + b\r
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\n" ); document.write( "\n" ); document.write( "where m is the slope of the line and b is the value of the y-intercept.\r
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\n" ); document.write( "\n" ); document.write( "Since the slope is given as m = 3, the line will have the form:\r
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\n" ); document.write( "\n" ); document.write( "y = 3x + b\r
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\n" ); document.write( "\n" ); document.write( "To determine the value of b, substitute the known point (-3, -6) and solve for b:\r
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\n" ); document.write( "\n" ); document.write( "-6 = 3(-3) + b\r
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\n" ); document.write( "\n" ); document.write( "-6 = -9 + b\r
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\n" ); document.write( "\n" ); document.write( "b = -6 + 9\r
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\n" ); document.write( "\n" ); document.write( "b = 3\r
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\n" ); document.write( "\n" ); document.write( "The equation of the line is then y = 3x + 3.
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