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KatRina [158]
3 years ago
9

I'm confused need help :/

Mathematics
2 answers:
never [62]3 years ago
5 0

Answer:

  y = 3/2x -7/2

Step-by-step explanation:

Solve for y.

  3x -2y=7\qquad\text{given}\\\\3x=2y+7\qquad\text{add $2y$ to both sides}\\\\3x-7=2y\qquad\text{subtract 7}\\\\\dfrac{3}{2}x-\dfrac{7}{2}=y\qquad\text{divide by 2}\\\\\boxed{y=\dfrac{3x}{2}-\dfrac{7}{2}}

_____

<em>Additional comment</em>

Whatever operation is performed on the equation must be performed on both sides of the equation in order for the equal sign to remain valid. For example, when we say "subtract 7", you should understand that to mean "subtract 7 from both sides of the equation."

RoseWind [281]3 years ago
3 0
So slope intercept form is y=mx+b to convert this equation into slope intercept form we must make everything equal to y

3x-2y=7
3x=7+2y we add 2y to move it to the other side
3x-7=2y We subtract seven to have 1y by itself and then divide by two to get it into simplified slope intercept form
Answers=
3/2x-3.5=y or written as=
y=3/2x-3.5
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Which equation represents the line that passes through (5,8) and (9,2)
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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!

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5 0
3 years ago
Read 2 more answers
3/7 + 1/3 is equivalent to
cestrela7 [59]

Answer:

7/21+9/21=16/21

Hope it helps

Have a good day

8 0
3 years ago
Read 2 more answers
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