Question

What is the slope of a line that is perpendicular to the line shown

Answer 1

Use the slope formula

(y₂ - y₁)/(x₂ - x₁)

Let (0,2) = (x₁, y₁)
Let (3,0) = (x₂, y₂)

Plug into corresponding variables

(0 - 2)/(3 - 0) = -2/3

-2/3 is the slope of the line given

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To find the perpendicular line, flip the slope around and change the sign.

-2/3 becomes 3/2

The perpendicular line's slope is 3/2

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hope this helps