Question

How could you find the slope of the line that passes through the points (2, -1) and (6, 1) without graphing? Explain your reasoning.

Answer 1

`(1)/(2)`

Explanation:

We can find the slope with the given two points using the formula mentioned below:

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

(2 , -1) ⇒ x₁ = 2 & y₁ = -1

(6 ,1) ⇒ x₂ = 6 & y₂=1

`\bf Slope = (1-(-1))/(6-2)\\`

`\bf =(1+1)/(4)\\\\ =(2)/(4)\\\\=(1)/(2)`