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3 years ago

5

Find the equation of a line perpendicular to 2x-y+6=0 through the point (0, -2)

1 answer:

umka21 [38]3 years ago

3 0

Step-by-step explanation:

Let's first rearrange so it's easier to look at: y = 2x +6

To find the perpendicular slope you need to find the negative reciprocal of m so flip and change the sign:

m= -1/2

Next plug in the point (0, -2) into the point-slope equation of a line:

$y2 - y1 = \frac{ - 1}{2} (x2 - x1) \\$

y-(-2) = -1/2 (x-0)

y + 2 = -1/2x

y = -1/2x - 2

Therefore the equation is y = -1/2x - 2

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Natalka [10]

$\huge\text{Hey there!}$

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zloy xaker [14]

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3 years ago

Read 2 more answers

IrinaVladis [17]

Answer:

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Step-by-step explanation:

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Use the Distributive Property to simplify the following expression. a: 4(x+2) b; -5(9+x) c: 7(x-3)

ExtremeBDS [4]

<h3>hello!</h3>

=======================================================

The Distributive Property states the following:-

$\longrightarrow\sf{a(b+c)=ab+ac$

Where

$\longrightarrow\sf{a,~b,~and~c~can~be~either~constants~or~variables}$

Now, let's use this property to simplify our expressions.

The first one is

$\bigstar{\underline{\boxed{{4(x+2)}}}$

Simplify by distributing 4:-

$\longrightarrow\sf{4~times~x~+4~times~2}$

Add the products:-

$\longrightarrow\sf{4x+8}$

$\rule{250}{2}$

Solve the next one:-

$\bigstar{\underline{\boxed{\sf{-5(9+x)}}}$

Distribute -5 & add the products:-

$\longrightarrow\sf{-45-5x}$

$\rule{250}{2}$

Solve the last one:-

$\bigstar{\underline{\boxed{7(x-3)}}$

Distribute 7:-

$\longrightarrow\sf{7x-21}$

======================================================

<h3>note:-</h3>

Hope everything is clear; if you need any more explanation/clarification, kindly let me know, and I'll comment and/or edit my answer :)

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salantis [7]

Answer:

Step-by-step explanation:

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