Question

Which expression can be simplified to find the slope of the trend line in the scatterplot?

On a graph, a line goes through points (4, 21) and (8, 35).
21-35/8-4
8-4/21-35
35-21/8-4
8-4/35-21

Answer 1

The correct expression is
`(35-21 )/(8-4) }` .

Explanation:

Given,

Two pints are (4,21) and (8,35)

To find the slope of the line passing through the points.

Formula

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

Now,

Putting,
`x_(1)=4, y_(1)=21, x_(2)=8, y_(2)=35` we get,

m =
`(35-21 )/(8-4) }` =
`(14)/(4) = (7)/(2)`

Hence,

The correct expression is
`(35-21 )/(8-4) }`