document.write( "Question 620352: Please help me solve this question: Write a point-slope equation for the line that passes through the point (11, 16) and is parallel to the line given by y = 9x + 41. Do not use parenthesis on the y side. \n" ); document.write( "
Algebra.Com's Answer #390081 by dragonwalker(73)![]() ![]() ![]() You can put this solution on YOUR website! If the line is running parallel then we know that the values of x and y will be in relation to each other, but the integer will be different.\r \n" ); document.write( "\n" ); document.write( "So we need to find how much this difference is.\r \n" ); document.write( "\n" ); document.write( "We can do this by substituting y and x into the known equation and then we can solve the variable.\r \n" ); document.write( "\n" ); document.write( "Let us call the variable z\r \n" ); document.write( "\n" ); document.write( "So y = 9x + z \n" ); document.write( "16 = 9(11) + z \n" ); document.write( "16 = 99 + z \n" ); document.write( "16 - 99 = z\r \n" ); document.write( "\n" ); document.write( "so z = -83\r \n" ); document.write( "\n" ); document.write( "Therefore the formula for the line will be:\r \n" ); document.write( "\n" ); document.write( "y = 9x - 83\r \n" ); document.write( "\n" ); document.write( "to check substitute value of x into the formula (11 )and y should be equal to 16:\r \n" ); document.write( "\n" ); document.write( "y = 9(11) -83 \n" ); document.write( "y = 99 - 83 \n" ); document.write( "y = 16!!! \n" ); document.write( " |