document.write( "Question 385134: Write the slope-intercept equation for the line that passes through (-7, 6) and is perpendicular to -7x + 9y = -2 Please show all of your work. can someone help me with this
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Algebra.Com's Answer #272518 by armstrkl(28)![]() ![]() You can put this solution on YOUR website! \n" ); document.write( "First you find the slope of the line you were given, which is found by solving the equation for y and looking at the coefficient of x. \n" ); document.write( "y=7/9x-2 \n" ); document.write( "So the slope of this line is m=7/9 \n" ); document.write( "The slope of a perpendicular line is the negative reciprocal, so the new m = -9/7. \n" ); document.write( "Use the point slope formula to find the equation of the line that goes through a point with a given slope, y-y1=m(x-x1). Your point is (-7,6) so x1=-7 and y1=6. Plug in and solve the equation for y.\r \n" ); document.write( "\n" ); document.write( "y-6 = -9/7(x- (-7)) plugged in \n" ); document.write( "y-6 = -9/7x -9 distribute -9/7 \n" ); document.write( "y = -9/7x -3 add 6 to both sides\r \n" ); document.write( "\n" ); document.write( "so the answer is y = -9/7x - 3 hope that helped! \n" ); document.write( " |