Question

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

Answer 1

Answer:

Step-by-step explanation:

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

slope = y₂ - y₁ / x₂-x₁

         = -1 - 4 / 6-3

         = -5/3

Answer 2

The slope of the line joining the points (3,4) and (6,-1) is $\frac{-5}{3}$

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:

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

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,

$m=\frac{-1-4}{6-3}=\frac{-5}{3}$

Hence slope of given line is $\frac{-5}{3}$