document.write( "Question 532344: write the slope intercept form of the equation of the line described: (16, 2) perpindicular to y= -4x-9 \n" ); document.write( "

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The equation for the line described is
\n" ); document.write( " $\"y=-4x-9\"$ .
\n" ); document.write( "That equation is in the slope-intercept form, which looks like
\n" ); document.write( " $\"y=mx%2Bb\"$ , where $\"m\"$ is the slope of the line and $\"b\"$ is the y-coordinate for the point where the line intercepts the y-axis, called the y-intercept, or (sometimes) just intercept, for short.
\n" ); document.write( "That means that the slope of the line described is $\"m=-4\"$ .
\n" ); document.write( "When lines are perpendicular, their slopes multiply to give you $\"-1\"$ ,
\n" ); document.write( "meaning that the slope of the perpendicular line is
\n" ); document.write( " $\"m=%28-1%29%2F%28-4%29=1%2F4\"$
\n" ); document.write( "If that perpendicular line passes through the point (16,2) with
\n" ); document.write( " $\"x=16\"$ and $\"y=2\"$ , you have enough information to find the equation for that perpendicular line.
\n" ); document.write( "Knowing that it's going to be
\n" ); document.write( " $\"y=mx%2Bb=%281%2F4%29x%2Bb\"$
\n" ); document.write( "you could substitute $\"x=16\"$ and $\"y=2\"$ to find $\"b\"$ .
\n" ); document.write( "Otherwise, you could use the point-slope form of the equation, using the coordinates of the given point and the calculated slope to write the equation as
\n" ); document.write( " $\"y-2=%281%2F4%29%2A%28x-16%29\"$ .
\n" ); document.write( "A little algebra transforms the equation above into the slope-intercept form for the perpendicular line. \n" ); document.write( "

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