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-BARSIC- [3]
2 years ago
8

Which equation is parallel to y =2/3x – 6 and passes through (9, -3)?

Mathematics
2 answers:
SpyIntel [72]2 years ago
4 0

Answer:

y=2/3x -3

Step-by-step explanation:

y=mx+c

If the gradient(m) is the same then it's parallel.

The line passes through -3 so the y intercept(c) is -3

Shtirlitz [24]2 years ago
3 0

Answer:

Y=2/3x-9

Step-by-step explanation:

Y=mx+c

y=2/3x+c

Then substitute the coordinates

y=-3

x=9

-3=2/3*(9)+c

-3=6+c

Make c the subject by subtracting 6 from both sides.

-9=c

so the answer is

Y=2/3x-9

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What is 3,989.23655 rounded to the nearest one thousandth?
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3 years ago
1. Solve the equation.<br>4(x + 5) = 24<br><br>​
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Answer:

x=1

Step-by-step explanation:

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4x+20=24

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3 years ago
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2 years ago
Solve the system
Helga [31]
The answer is actually choice A

---------------------------------------------------------
---------------------------------------------------------

If we add up the equations straight down we will have 0a+2b = 6

Note how adding the 'a' terms gives us 3a + (-3a) = 3a-3a = 0a. The 0a term is really 0 since 0 times anything is 0. So the 'a' terms will go away

The equation 0a+2b = 6 turns into 0+2b = 6 and that simplifies to 2b = 6

To isolate b, we divide both sides by 2

2b = 6
2b/2 = 6/2
b = 3

We can stop here since only one answer choice has b = 3, which is choice A. However, let's keep going to find the value of 'a'

Plug b = 3 into any equation with 'a' and 'b', then solve for 'a'

3a+4b = 9
3a+4*3 = 9
3a+12 = 9
3a+12-12 = 9-12
3a = -3
3a/3 = -3/3
a = -1

So a = -1 and b = 3 pair up to form (a,b) = (-1,3)

--------------------------------------

To check, plug this ordered pair back into both equations

Equation 1:
3a+4b = 9
3*(-1)+4*3 = 9
-3+12 = 9
9 = 9
Equation 1 has been checked out

Equation 2:
-3a-2b = -3
-3(-1)-2(3) = -3
3 - 6 = -3
-3 = -3
this is true as well

So this confirms that the final answer is choice A
8 0
2 years ago
Read 2 more answers
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