document.write( "Question 1060011: For the following problem, the slope and one point on a line is given. Use the point-slope form to find the equation of that line. (Write your answer in slope-intercept form.)
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document.write( "(−6,5), m = −4/3\r
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document.write( "Please help me im so confused :(
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Algebra.Com's Answer #675050 by acw1213(28)![]() ![]() You can put this solution on YOUR website! \"m\" is the slope. \n" ); document.write( "We know 4/3 is the slope here. \n" ); document.write( "Point-slope form is \n" ); document.write( "y - y1 = m(x - x1) \n" ); document.write( "When you write point-slope form, the ordered pair they give you is used to plug in for x1 and y1 in point-slope form.\r \n" ); document.write( "\n" ); document.write( "Here, your ordered pair (-6,5) \n" ); document.write( "x1 = -6 \n" ); document.write( "y1 = 5\r \n" ); document.write( "\n" ); document.write( "Plug in x1, y1, and the slope into the formula.\r \n" ); document.write( "\n" ); document.write( "y - 5 = 4/3(x - (-6) \r \n" ); document.write( "\n" ); document.write( "Simplify. x - (-6) is the same as x + 6\r \n" ); document.write( "\n" ); document.write( "y - 5 = 4/3(x + 6)\r \n" ); document.write( "\n" ); document.write( "Now we need to get this into slope-intercept form. Distribute 4/3 into the parentheses.\r \n" ); document.write( "\n" ); document.write( "y - 5 = 4/3*x + 4/3*6\r \n" ); document.write( "\n" ); document.write( "Simplify. \n" ); document.write( "4/3*x is the same as 4/3x\r \n" ); document.write( "\n" ); document.write( "4/3*6 is 8.\r \n" ); document.write( "\n" ); document.write( "y - 5 = 4/3x + 8\r \n" ); document.write( "\n" ); document.write( "Slope intercept form is y = mx + b. We need the y to be ALONE on the left side.\r \n" ); document.write( "\n" ); document.write( "Add 5 on both sides. You can only add 5 to its like term, 8.\r \n" ); document.write( "\n" ); document.write( "y = 4/3x + 13\r \n" ); document.write( "\n" ); document.write( "Ta-da! :) \n" ); document.write( " |