Question

What’s the slope of the line that passes through 5,10 and 7,12

Answer 1

`to \: find \: the \: slope \: of \: the \: line \\ given \: that \: the \: line \: passes \: through \\ (5,</p><p> 10) \: and \: (7,12) \\ </p><p>answer \: is \: \: 1</p><p> </p><p>`

Explanation:

`passing \: through \: (5,10) \: and \: (7,12) \\ slope = (y2 - y1)/(x2 - x1) \\ here \: y2 = 12 \: \: and \: \: y1 = 10 \\ x2 = 7 \: \: and \: \: x1 = 5 \\ therefore \: \\ slope = (12 - 10)/(7 - 5) \\ = (2)/(2) \\ = 1`

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Answer 2

Slope of the line passes through (5,10) and (7,12) is 1.

Explanation:

Given,

The two points are (5,10) and (7,12).

To find the slope passing through the given points.

Formula

The slope of the line passing through (
`x_(1) ,y_(1)`) and (
`x_(2) ,y_(2)`) is
`(y_(2) -y_(1) )/(x_(2) -x_(1) )`

Now, putting
`x_(1) =5,y_(1)=10, x_(2)=7, y_(2) =12` we get,

Slope =
`(12-10)/(7-5)` =
`(2)/(2)` = 1

Hence,

Slope of the line passes through (5,10) and (7,12) is 1.