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

1 Answer
Nov 13, 2016

y=x+2

Explanation:

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, pick a set of coordinate points and plug them into point slope form:

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)

Distribute the one throughout the set of parenthesis

y-8=x-6

Add 8 on both sides of the equation

y=x+2