Question 532344: write the slope intercept form of the equation of the line described: (16, 2) perpindicular to y= -4x-9
Answer by KMST(5328)   (Show Source):
You can put this solution on YOUR website! The equation for the line described is
 .
That equation is in the slope-intercept form, which looks like
 , where  is the slope of the line and  is the y-coordinate for the point where the line intercepts the y-axis, called the y-intercept, or (sometimes) just intercept, for short.
That means that the slope of the line described is  .
When lines are perpendicular, their slopes multiply to give you  ,
meaning that the slope of the perpendicular line is
If that perpendicular line passes through the point (16,2) with
 and  , you have enough information to find the equation for that perpendicular line.
Knowing that it's going to be
you could substitute and to find .
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
 .
A little algebra transforms the equation above into the slope-intercept form for the perpendicular line.
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