Question

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

Answer 1

Answer:

5/8

Step-by-step explanation:

slope: (y₂ - y₁) / (x₂ - x₁)

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

Answer 2

Answer:

m= 5/8

Step-by-step explanation:

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

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

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.

$m=\frac{8-3}{9-1}$

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

$m=\frac{5}{9-1}$

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

$m= \frac{5}{8}$

The slope of the line is 5/8