Question

What is the slope of a line that passes through the points

\[(1,3)\] and
\[(7,5)\] in the
\[xy\]-plane?

Answer 1

`\sf Slope = (1)/(3)`

Explanation:

To find the slope:

(1 , 3) ⇒ x₁ = 1 & y₁ = 3

(7 , 5) ⇒ x₂ = 7 & y₂ = 5

`\boxed{\bf Slope = (y_2-y_1)/(x_2-x_1)}`

`\sf = (5-3)/(7-1)\\\\= (2)/(6)\\\\= (1)/(3)`

Answer: Slope =
`(1)/(3)`