Question

Find the slope of the line that passes through (4, 10) and (2, 1).

Answer 1

slope =
`(9)/(2)`

Explanation:

Calculate the slope m using the slope formula

m = (y₂ - y₁ ) / (x₂ - x₁ )

with (x₁, y₁ ) = (4, 10) and (x₂, y₂ ) = (2, 1)

m =
`(1-10)/(2-4)` =
`(-9)/(-2)` =
`(9)/(2)`

Answer 2

The slope of the line is -
`(9)/(2)`

Explanation:

Given:

Two points are (4,10) and (2,1)

To find:

The slope of the line passes though the points

Formula to be used:

Let "m" be the slope of the points (
`x_(1) y_(1)`,) and (
`x_(2) y_(2)`) respectively,

We all be aware of the slope formula that,

m =
`(y_(2)- y_(1))/(x_(2)- x_(1))`

Now,

The slope m =
`(1-10)/(2-4)`

=
`(-9)/(-2)` =
`(9)/(2)`

Thus the slope obtained is
`(9)/(2)`