document.write( "Question 27349: directions: write an equation of the line that is parallel to the given line and passes through the given point.\r
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document.write( "problem: y=2x+2,(3,2)\r
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document.write( " i dont understand how to work these type of problems out and i was wondering if this could be shown to me in steps so that i can work out the rest of the problems on my homework assignment.
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document.write( " thank you \n" );
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Algebra.Com's Answer #14843 by rodriguezh2(15)![]() ![]() ![]() You can put this solution on YOUR website! Whenever you are doing these types of problems, First make sure your equation is in y = mx + b form. Which yours is: y = 2x + 2 \n" ); document.write( "Remember (m) represents the slope (which is 2 in your equation) \n" ); document.write( "And (b) represents the y-intercept (which is also 2 in your equation) \n" ); document.write( "Parallel lines have slopes that are equal to each other. Therefore we can say that the slope of the line we are looking for is also 2.\r \n" ); document.write( "\n" ); document.write( "We know that the line we are looking for passes through the point (3, 2) \n" ); document.write( "Remember that 3 represents the x value and 2 represents the y value. \n" ); document.write( "We can use the following equation: (y - y1) = m(x - x1) \n" ); document.write( "(y - 2) = 2(x - 3) Now we multiply through the right side of the equation \n" ); document.write( "(y - 2) = 2x - 6 Now we add 2 to both sides of the equation \n" ); document.write( " y = 2x - 4 \n" ); document.write( "The above is the equation of the line you are looking for! \n" ); document.write( "Hope this helped! \n" ); document.write( " |