Question

Determine the slope of the line passing through the points (9,8) and (1,3).
slope =

Answer 1

m= 5/8

Explanation:

The slope of a line can be found using the following formula:

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

where (x₁, y₁) and (x₂, y₂) are the points the line passes through.

The points given are: (1,3) and (9,8). Therefore,

`x_(1)=1 \\y_(1)=3 \\x_(2)=9 \\y_(2)=8`

Substitute the values into the formula.

`m=(8-3)/(9-1)`

Perform the operation in the numerator. Subtract 3 from 8.

`m=(5)/(9-1)`

Perform the operation in the denominator. Subtract 1 from 9.

`m= (5)/(8)`

The slope of the line is 5/8

Answer 2

5/8

Explanation:

slope: (y₂ - y₁) / (x₂ - x₁)

(3 - 8) / (1 - 9) = -5/-8 = 5/8