.
First you calculate the slope using the coordinates of the given points.
The slope m = .
In your case = 3; = 3; = 6 and = -1.
Therefore, the slope is m = = .
As soon as you have the value of the slope, you write an equation of the line in the form
=
which is (after substituting the values)
y - 3 = . (1)
At this point, the problem is just solved: you obtained the required equation.
If you want to have it with integer coefficients, multiply both sides of the equation by 3, the denominator.
You will get then an EQUIVALENT equation
3y - 9 = (-4)*(x-3). (2)
You can simplify it further
3y - 9 = -4x + 12, (3)
or
4x + 3y = 21. (4)
The problem is just solved.
What you need understand is that equations (1), (2), (3) and (4) are EQUIVALENT:
they represent THE SAME STRAIGHT LINE.
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It is very elementary and basic skill that every student must develop to the level to solve such problems on his (or her)
own AUTOMATICALLY without asking assistance from outside.
Similar to as you answer "4" when you are asked "How many is 2*2 ?".
To help you to develop such skills, the special lesson was created in this site
- Equation for a straight line having a given slope and passing through a given point
Find there a complete explanation on how to do it and learn the subject once and for all.
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Is everything clear to you in my explanation ?
If you still have questions, do not hesitate to post them to me.
