Question

What is the slope of the line through (3,2) and (-3,4)?

Answer 1

slope = -
`(1)/(3)`

Explanation:

calculate the slope m using the slope formula

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

with (x₁, y₁ ) = (3, 2 ) and (x₂, y₂ ) = (- 3, 4 )

m =
`(4-2)/(-3-3)` =
`(2)/(-6)` = -
`(1)/(3)`

Answer 2

`\small\mathbb\green{slope=M= (y2 - y1)/(x2 - x1) = (4 - ( - 2))/(3 - 3) \: = (6)/(0) \: = ∞}`