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Write the equation of a line that passes through the point (-4,-5) and is perpendicular to the line y= -1/2x+5

Sagot :

bob761553

Answer:

Step-by-step explanation:

First let us determine the perpendicular line by remembering that a perpendicular line that intersects with the current line must have the opposite reciprocal slope as it. Meaning... the current slope is -1/2 and the opposite reciprocal is +2 or 2.

To clarify...

*opposite= the opposite sign ex. the opposite of +3 is -3 and the opposite of -1 is +1

*reciprocal=put simply, the reciprocal is the flipped version of the current number ex. the reciprocal of 1/2 is 2/1 or 2 and the reciprocal of 3 or 3/1 is 1/3

After we determine the slope of the perpendicular line, we are also know the point it must pass through.

Given that, we can find the equation.

Using y=mx+b

Plug in known varibles

y=-5

x=-4

m=2

b=?

-5=2(-4)+b

b=3

So now that we have b, we can put the equation in standard form.

y=2x+3

Hope this helps!!!

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