SOLUTION: What is an equation in slope-intercept form of the line that passes through (6, −7) and is perpendicular to the line shown below?

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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): You can put this solution on YOUR website!

where is " the line shown below"?

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): You can put this solution on YOUR website!
.

To learn on how to solve such problems,  read the lesson

    - Equation for a straight line perpendicular to a given line and passing through a given point

in this site and find there the complete explanation on how to do it.


At this site,  there is a group of lessons related to this class of problems
    - Find the slope of a straight line in a coordinate plane passing through two given points
    - Equation for a straight line having a given slope and passing through a given point
    - Solving problems related to the slope of a straight line
    - Equation for a straight line in a coordinate plane passing through two given points
    - Equation for a straight line parallel to a given line and passing through a given point
    - Equation for a straight line perpendicular to a given line and passing through a given point (*)
    - Advanced problems on finding equations for straight lines

    - OVERVIEW of lessons related to the slope of a straight line

The most relevant to your current problem is the lesson marked  (*)  in the list.
So start from this lesson.

But if you want to learn the subject in all its aspects,  you need to learn all these lessons.

Consider them as your textbook,  handbook,  tutorials and  (free of charge)  home teacher.



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