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Question 1189603: What is an equation in slope-intercept form of the line that passes through (6, −7) and is perpendicular to the line shown below?
Found 3 solutions by MathLover1, Edwin McCravy, ikleyn:
Answer by MathLover1(20850)   (Show Source):
Answer by Edwin McCravy(20056)  (Show Source):
You can put this solution on YOUR website! What is an equation in slope-intercept form of the line that
passes through (6, −7) and is perpendicular to the line shown
below?
I'll make up a line shown below, since you didn't give one.
Your problem will be done the same way:
Let's say you were given this graph:
We take two points on the given line and find its slope:
Slope formula:
  
where (x1,y1) = (-2,2)
and where (x2,y2) = (10,-4)
That's the slope of the given line. A line perpendicular
to a given line has a slope which is the reciprocal of
the given line with the opposite sign.
The reciprocal of with the opposite sign is  ,
which is just 2.
Next we use the point-slope formula:
y - y1 = m(x - x1)
where (x1,y1) = (6,-7), and m = 2.
 
 
  <---answer
Now use the above as a model to solve yours.
Here's the graph of the answer (in green):
Edwin
Answer by ikleyn(52786)  (Show Source):
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