SOLUTION: ( 7 ,1 ) and is perpendicular to the line 5 x + 2 y = 5 can be written in the form y = mx+b where m is -3.5 solve for b
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Question 801277: ( 7 ,1 ) and is perpendicular to the line 5 x + 2 y = 5 can be written in the form y = mx+b where m is -3.5 solve for b
Answer by KMST(5328) (Show Source): You can put this solution on YOUR website!
This question seems to be a mixture of wording from two different problems. I cannot have much faith on my guess about what the problem was supposed to be, but I hope my answer helps anyway.
can be written in the form as .
That can be found by solving for :
--> --> -->
When the equation of a line is in such a form, the coefficient of is the slope of the line.
So the slope of is .
A line perpendicular to must have a slope of
-->
All lines perpendicular to will have as an equation in the form
an equation represented by .
The one an only one of those lines perpendicular to that passes through point (7,1) will have as a solution to
So we will have
--> --> -->
So the line perpendicular to and passing through (7,1) has the equation .
The same equation can be written in many ways.
For example, multiplying both sides times 5 we get the equivalent equation
.
And that can be transformed into the equivalent equations
and .
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