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Margarita [4]
2 years ago
5

Point-slope equation for perpendicular lines y=-2x-7 that passes through (-2,-3)

Mathematics
1 answer:
emmainna [20.7K]2 years ago
7 0

Answer: below! ^^

Step-by-step explanation:

Hii, do you need an answer to your question? Let me help you out! (;

<h2>. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .</h2><h2>Part 1 ⚜</h2>

Perpendicular lines have slopes that are opposite inverses of each other.

The slope (m) of the line that is perpendicular to y=-2x-7 is \sf -\cfrac{1}{2}.

<h2>Part 2 ⚜</h2>

<h3>⚜ Point slope formula</h3>

\boldsymbol{y-y1=m(x-x1)}

<h3>⚜Stick in the known values</h3>

\boldsymbol{y-(-3)=-\cfrac{1}{2}(x-(-2)}

<h3>⚜ Simplify</h3>

\boldsymbol{y+3=-\cfrac{1}{2}(x+2)}

Voila! There's our answer, cheers! (:

<h2>. . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .</h2>

<em>Hope I helped! Best wishes!</em>

<em>Reach far. Aim high. Dream big.</em>

<em />\underbrace

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Which equation represents the line that passes through (5,8) and (9,2)
Dahasolnce [82]
ASSUMING This is a straight line so we gotta the formula for a straight line which is y=mx+b, where m represents the slope and b represents the y intercept.

First, we know this line passes through (5,8) and (9,2) we can use these for finding the equations. When we know two points, we use this formula:

y-y=m(x-x)

The first y is 8 and the second one is 2
The first x is 5 and the second one is 9

Plug it in:

8-2=m(5-9)
6=m(-4)
6/-4=m <— simplify this
m= -3/2

*NOTE: another way to find m is by calculating it (y-y)/(x-x)

Now we know m, we have to find b.
All you gotta do is plug everything you know back into the equation y=mx+b

y=mx+b
y=-3/2x+b <— now plug in a point we know(x,y)

8=-3/2(5)+b
8=-15/2+b
8-(-15/2)=b
b=8+15/2
b=16/2+15/2
b=31/2 (now you can write be as a fraction or a decimal in your equation, depending on what your teacher told you to use)
*NOTE: it is best to use fractions instead of decimals as it is more accurate sometimes.

Now we know all the variables that need to be known, we just need to rewrite the formula of the equation so the teacher can see.

m=-3/2
b=31/2

We don’t need to plug in x or y since it could have different values (since a straight line has MANY co-ordinates)

SO OUR EQUATION IS=
y=(-3/2)x+31/2

Hope you understand this, feel free to ask me anything!

6 0
3 years ago
Help me again pls :D sorry for the bother
matrenka [14]

Answer:

A

Step-by-step explanation:

2x2.5x3= 15

2x2.5x4.5=22.5

2.5x3x4=30

2.5x2x4=20

6 0
3 years ago
Read 2 more answers
What is the principal solution to the equation?
ikadub [295]
First step: x= ± √ 121
Second step and correct answer: x= ± 11

Because: x^2 = x= ± √
6 0
2 years ago
Can someone PLEASE help me with this
Mekhanik [1.2K]

Answer:

4.5 u

Step-by-step explanation:

There are many ways to do it, the most easier is this:

Area=(b*h)/2

Area of ABD = (3*3)/2 = 4.5 u

3 0
3 years ago
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Y=r + 5x + 4<br> please help!!!!
frez [133]
Your answer would be R=-5x-4+y
6 0
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