Question

Find the slope of the line passes through the points (2, 5) and (9, 8).

A. 1/7
B.2/7
C. 3/7
D.8/7

Answer 1

• The correct option is 3/7

Step by Step Explanation:

Given:

• line passing through points (2,5) and (9,8)

To find:

• Slope of the line

Solution:-

Here, to find the slope of line passing through two points x₁,x₁ and y₁,y₂ is given by:-

`\sf m=(y_2 - y_1)/(x_2 - x_1)`

where,

x₁ = 2

x₂ = 9

y₁ = 5

y₂ = 8

Therefore putting the values , we get

`\sf \: m=(y_2 - y_1)/(x_2 - x_1) \\ \\ : \longrightarrow \: (8 - 5)/(9 - 2) \\ \\ : \longrightarrow \: (3)/(7)`

Hence, the slope of line passes through the points (2, 5) and (9, 8) is 3/7.