Question

A Mater Exam

Q2 SA 1
4 Points
What is the slope of a line that is perpendicular to the line f(x) = 2x + 6? Justify your answer
by typing out your calculations or explaining your reasoning.
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Answer 1

The slope of the perpendicular line to the line is

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

Explanation:

Step(i):-

Given that the line y =f(x) = 2x +6

⇒ y = 2x +6

comparing y =mx +c

The slope of the given line m =2

Step(ii):-

The slope of the perpendicular line =
`(-1)/(m)`

The slope of the perpendicular line =
`(-1)/(2)`