Question

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Answer 1

perpendicular slope = -
`(1)/(2)`

Explanation:

Calculate the slope m of the line using the slope formula

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

with (x₁, y₁ ) = (0, 1) and (x₂, y₂ ) = (- 2, - 3) ← 2 points on the line

m =
`(-3-1)/(-2-0)` =
`(-4)/(-2)` = 2

Given a line with slope m then the slope of a line perpendicular to it is

`m_(perpendicular)` = -
`(1)/(m)` = -
`(1)/(2)`