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What is the slope of a line perpendicular to the line y=2x+5 ?What is the slope of a line perpendicular to the line y=2x+5 ?

1/2


−2

2

−1/2

Sagot :

Theleangreenbeanidn

Answer:

[tex]-\frac{1}{2}[/tex]

Step-by-step explanation:

Hi there!

In the given equation [tex]y=2x+5[/tex], the slope of the line is 2.

Perpendicular lines always have slopes that are negative reciprocals, like negative "flipped" fractions.

Example: The negative reciprocal of [tex]\frac{3}{1}[/tex] (which is the same as 3) is [tex]-\frac{1}{3}[/tex].

Example 2: The negative reciprocal of [tex]-\frac{4}{3}[/tex] is [tex]\frac{3}{4}[/tex].

Using this logic, the negative reciprocal of 2, or [tex]\frac{2}{1}[/tex], is [tex]-\frac{1}{2}[/tex]. Therefore, the slope of a line perpendicular to the line [tex]y=2x+5[/tex] is [tex]-\frac{1}{2}[/tex].

I hope this helps!

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