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)![]() ![]() ![]() You can put this solution on YOUR website! The slope-intercept form of the equation of a line is:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "y = mx + b\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "where m is the slope of the line and b is the value of the y-intercept.\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "Since the slope is given as m = 3, the line will have the form:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "y = 3x + b\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "To determine the value of b, substitute the known point (-3, -6) and solve for b:\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-6 = 3(-3) + b\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "-6 = -9 + b\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "b = -6 + 9\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "b = 3\r \n" ); document.write( " \n" ); document.write( "\n" ); document.write( "The equation of the line is then y = 3x + 3. \n" ); document.write( " |