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## What is the slope of a line that is perpendicular to the line 2y – 3x = 8?

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What is the slope of a line that is perpendicular to the line 2y – 3x = 8?

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Mathematics
1 year
2021-09-02T02:25:56+00:00
2021-09-02T02:25:56+00:00 2 Answers
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## Answers ( )

Answer:– 2/3

Step-by-step explanation:You are given the line 2y-3x=8 which could also be written as 2y=3x+8

First you have to solve that and end up with a solid y so you do 2/2y=(3/2)x+8/2 which is y=(3/2)x+4

In that form of a line the number next to the x its the slope so the slope its 3/2

In perperndicular lines to find the slope you have to do S1*S2= -1… (S=slope)

So… 3/2*S2= -1 and now you have to leave S2 alone to solve it so you divite it by 3/2 and you end up having

S2= -2/3

And thats the slope for the perperndicular line to 2y-3x =8

Answer: -2/3

Step-by-step explanation:

The slope intercept form of that equation is y=(3/2)x+4, so the slope is 3/2.

To find the perpendicular slope, you need to find the opposite reciprocal. The reciprocal of 3/2 is 2/3, the opposite of 2/3 is -2/3