Question

Find the slope of the line joining the points (3,4) and (6,-1)

Answer 1

The slope of the line joining the points (3,4) and (6,-1) is
`(-5)/(3)`

Solution:

Given two points are (3, 4) and (6, -1)

We need to find the slope of the line

The slope of line when two points are given:

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

where
`(x_1, y_1)` and
`(x_2, y_2)` are the x and y points of given two lines

Here in this problem,

`x_1 = 3 and y_1 = 4 and x_2 = 6 and y_2 = -1`

Substituting the values we get,

`m=(-1-4)/(6-3)=(-5)/(3)`

Hence slope of given line is
`(-5)/(3)`

Answer 2

Explanation:

(3,4) ; (6,-1)

slope = y₂ - y₁ / x₂-x₁

= -1 - 4 / 6-3

= -5/3