Question

What is an equation of the line that passes through the points (6, 5) and (7,7)?

Answer 1

Given that,

To find an equation of the line that passes through the points (6, 5) and (7,7).

Step-by-step explanation:

we know that,

The equation of the line that passes through the points (x1,y1) and (x2,y2) is of the form,

`(y-y1)/(y2-y1)=(x-x1)/(x2-x1)`

x1=6 , y1=5

x2=7, y2=7

Substitute the values we get,

`(y-5)/(7-5)=(x-6)/(7-6)`
`(y-5)/(2)=(x-6)/(1)`

Solving this we get,

`y-5=2x-12`
`y=2x-12+5`
`y=2x-7`

The required equation of the line is,

`y=2x-7`