How to write an equation given points (5,7), (6,8)?

tirria0ox

tirria0ox

Answered question

2023-02-02

How to write an equation given points (5,7), (6,8)?

Answer & Explanation

usifaneledv2

usifaneledv2

Beginner2023-02-03Added 10 answers

First, find the slope of the line using slope formula:
m = y 2 - y 1 x 2 - x 1
Where m is the slope
( 5 , 7 ) ( x 1 , y 1 )
( 6 , 8 ) ( x 2 , y 2 )
m = 8 - 7 6 - 5 = 1 1 = 1
Next, enter a set of coordinates into the point slope form as follows:
y - y 1 = m ( x - x 1 )
And the slope of 1
If you use ( 5 , 7 ) :
y - 7 = 1 ( x - 5 )
Distribute the one throughout the set of parenthesis
y - 7 = x - 5
Add 7 on both sides of the equation
y = x + 2
If you were to use the other set of coordinate points, the equation should be the same:
If you use ( 6 , 8 ) :
y - 8 = 1 ( x - 6 )
Place the one between each pair of parenthesis
y - 8 = x - 6
Add 8 on both sides of the equation
y = x + 2

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