SOLUTION: How do I find the slope of a line perpendicular (8,12)(3.9)

Algebra.Com
Question 684323: How do I find the slope of a line perpendicular (8,12)(3.9)
Found 2 solutions by ReadingBoosters, MathLover1:
Answer by ReadingBoosters(3246)   (Show Source): You can put this solution on YOUR website!
First find slope using (8, 12) and (3, 9)

...
A perpendicular line will have a negative inverse/reciprocal slope of
.....................
Have more questions?
Email: HomeworkHelpers@readingboosters.com
Delighted to help.
-Reading Boosters
Website: www.MyHomeworkAnswers.com
Wanting for others what we want for ourselves.
Answer by MathLover1(20850)   (Show Source): You can put this solution on YOUR website!
first find a line that passes through given point (,)and has slope
Solved by pluggable solver: FIND a line by slope and one point

What we know about the line whose equation we are trying to find out:

  • it goes through point (8, 12)

  • it has a slope of 3.9



First, let's draw a diagram of the coordinate system with point (8, 12) plotted with a little blue dot:



Write this down: the formula for the equation, given point and intercept a, is

(see a paragraph below explaining why this formula is correct)

Given that a=3.9, and , we have the equation of the line:



Explanation: Why did we use formula ? Explanation goes here. We are trying to find equation y=ax+b. The value of slope (a) is already given to us. We need to find b. If a point (, ) lies on the line, it means that it satisfies the equation of the line. So, our equation holds for (, ): Here, we know a, , and , and do not know b. It is easy to find out: . So, then, the equation of the line is: .

Here's the graph:




now we can find the slope of a line perpendicular to a line which passes through given points
perpendicular line has a slope

Solved by pluggable solver: FIND a line by slope and one point

What we know about the line whose equation we are trying to find out:

  • it goes through point (8, 12)

  • it has a slope of -0.26



First, let's draw a diagram of the coordinate system with point (8, 12) plotted with a little blue dot:



Write this down: the formula for the equation, given point and intercept a, is

(see a paragraph below explaining why this formula is correct)

Given that a=-0.26, and , we have the equation of the line:



Explanation: Why did we use formula ? Explanation goes here. We are trying to find equation y=ax+b. The value of slope (a) is already given to us. We need to find b. If a point (, ) lies on the line, it means that it satisfies the equation of the line. So, our equation holds for (, ): Here, we know a, , and , and do not know b. It is easy to find out: . So, then, the equation of the line is: .

Here's the graph:
RELATED QUESTIONS

How do I find the slope of any line perpendicular to... (answered by nerdybill)
The line a(12,x) and b(x,8) has a slope of -3/7 what is the value of x. How do I find it? (answered by josgarithmetic,MathTherapy)
How do I figure out the slope of a line parallel to y=6x-8 and then the slope of a line... (answered by checkley79)
How do you find the slope of a perpendicular line? A parallel... (answered by richard1234)
how would i find the slope of a line perpendicular to the graph of the equation:... (answered by checkley71)
9. Find the slope of a line perpendicular to 2x – 5y = 3. (answered by ewatrrr)
I need help: I have the formulas I just do not know how to apply them correctly. Here is (answered by venugopalramana)
How do I find the equation of the line perpendicular to 5y=x+3 that passes through the... (answered by Alan3354)
How do I write a slope-intercept for a line passing throught the given point that is... (answered by josgarithmetic,stanbon)