SOLUTION: find the slope intercept form (y=mx+b) of the equation for the line that satisfy the following: passes through the points (3,-1) and (1,4)

Question 86855: find the slope intercept form (y=mx+b) of the equation for the line that satisfy the following:
passes through the points (3,-1) and (1,4)

Answer by praseenakos@yahoo.com(507) (Show Source): You can put this solution on YOUR website!
Question:

find the slope intercept form (y=mx+b) of the equation for the line that satisfy the following:
passes through the points (3,-1) and (1,4)

Answer:
You want to find the equation for a line that passes through the two points:
(3,-1) and (14,).
First of all, remember what the equation of a line is:
y = mx+b, Where: m is the slope, and b is the y-intercept

First, let's find what m is, the slope of the line...

slope is given by the formula,

==>

==>

==>

Now equation of a line is given by, y = mx + b

Now plug any of the given point in this equation.

Lets take the first point ( 3, -1)

==>

==>

==>

==>

That is

[If you take the second point also you will get the same value for b]

So the equation of the line :

Which is the required equation of the line.

Hope you found the explanation useful

Warm regards.

Praseena.

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