document.write( "Question 27335: What is perpendicular to y=4x-7 through (5,-1) \n" ); document.write( "

Algebra.Com's Answer #14851 by rodriguezh2(15) $\"\"$ $\"About$

You can put this solution on YOUR website!
When doing these problems always make sure your given equation is in y = mx + b form. Which yours is y = 4x - 7
\n" ); document.write( "Remember (m) represents slope and (b) represents the y-intercept.
\n" ); document.write( "Perpendicular lines have negative reciprocal slopes. Your slope for your given line is 4. This means the line we are looking for that is perpendicular to the given line is -(1/4)
\n" ); document.write( "We also know that your line contains the point (5,-1)
\n" ); document.write( "Remember that 5 represents the x value and -1 represents the y value
\n" ); document.write( "We can plug these numbers into the equation: (y - y1) = m(x - x1)
\n" ); document.write( "(y - (-)1) = -(1/4)(x - 5) Remember to change your -1 to a positive number
\n" ); document.write( "(y + 1) = -(1/4)x + (5/4) Multiply the right side of the equation through
\n" ); document.write( "Remember that when you multiply two negatives you get a positive number
\n" ); document.write( "Now subtract 1 from both sides; to do this you need to change one to (4/4) getting the least common denominator so you can subtract: (5/4) - (4/4)
\n" ); document.write( "So we are left with:
\n" ); document.write( "y = -(1/4)x + 1/4
\n" ); document.write( "Hope this helps! \n" ); document.write( "

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