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Lelu [443]
3 years ago
15

What is the equation of the line perpendicular to the line y = 2x + 3 with a y-intercept of -6

Mathematics
1 answer:
mr Goodwill [35]3 years ago
7 0

Answer:

<h2>          y = -¹/₂ x - 6</h2>

Step-by-step explanation:

Two lines are perpendicular if the product of theirs slopes is equal -1:

y=m₁x+b₁   ⊥   y=m₂x+b₂   ⇒    m₁×m₂ = -1

 

y = 2x + 3   ⇒   m₁=2

2×m₂ = -1        ⇒    m₂ = -¹/₂

The y-intercept is b=-6 so the equation in  slope-intercept form:

                                                y = -¹/₂ x - 6

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KatRina [158]

Answer:

m = 7.1

Step-by-step explanation:

3 (m -5) + 8 = 7 -1/2 (4m - 11)

So, what I did first was distribute the values in the parenthesis to get,

3m - 15 + 8 = 7 -2m -5.5

Now that we have the parenthesis taken care of we can do the simpler math,

3m - 23 = 7 -2m - 5.5

I just added the 15 and 8, so now I move the -5.5 to the opposite side by adding.

3m - 23 = 7 -2m -5.5

<u>        +5.5             +5.5</u>

3m - 28.5 = 7 - 2m

Here we can do the same with the -2m.

3m - 28.5 = 7 - 2m

<u>+2m                 +2m</u>

5m - 28.5 = 7

To get rid of the -28.5 I added it to the 7 getting an answer of,

5m - 28.5 = 7

<u>      + 28.5    +28.5</u>

5m = 35.5

Finally, divide 5m and 35.5 both by 5.

5m/5 = m

35.5/5 = 7.1

Answer: m=7.1

Sorry it's really long, but I hope this helps! Have a great day!

6 0
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It is a very simple answer but it works!

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60 points answer asap
kow [346]

The point slope form of a line is written as y - y1 = m(x -x1)

Where m is the slope and x1 and y1 are the points on the line.

You are told the slope is 3 and the point is (2,-1/2)

x1 is 2 and y1 is -1/2

Replace those in the equation to get:

y- (-1/2) = 3(x-2)

Simplify to get the final answer:

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3 years ago
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const2013 [10]
7s = 4
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s= 4/7

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Where is the outlier in this graph?<br><br><br><br> A.) at 1<br> B.) at 6<br> C.) at 5<br> D.) at 11
geniusboy [140]

Answer:

d. 11

Step-by-step explanation:

The outlier is D. 11 because it is the furthest amount from any other set.

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