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emmainna [20.7K]
3 years ago
6

What is the slope and y-intercept of 6x-5y=13

Mathematics
1 answer:
DaniilM [7]3 years ago
5 0

Answer:

The slope is 6/5 and the y intercept is -13/5

Step-by-step explanation:

6x-5y=13

Solve for y

Subtract 6x from each side

6x-6x-5y=-6x+13

-5y = -6x+13

Divide by -5

-5y/-5 = -6x/-5 +13/-5

y = +6/5x -13/5

This is in slope intercept form y = mx+b where m is the slope and b is the y intercept

The slope is 6/5 and the y intercept is -13/5

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Prove that one of every three consecutive positive integer is divisible by 3
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Hello : 
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1 ) n </span><span>≡ 0 ( mod 3)...(1)

     n+1 </span>≡ 1 ( mod 3)...(2)
      n+2 ≡ 2 ( mod 3)...(3)
by (1), (2), (3)  : n(n+1)(n+2) ≡ 0×1×2   ( mod 3)   : ≡ 0 (mod 3)
2) n ≡ 1 ( mod 3)...(1)

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5 0
3 years ago
What equation describes a line that has a slope of 4/5 and a y-intercept of 2/5
boyakko [2]

Answer:

y = 4/5 x + 2/5

Step-by-step explanation:

3 0
2 years ago
HELP! I don’t understandddd.
RUDIKE [14]

Answer:

A. The tree starts at 0 and increases by 1 every year. The height starts at 5 and increases by 1 every year.

Step-by-step explanation:  5 for the first year, 6 for the second year, 7 for the third year etc.

4 0
3 years ago
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Rainbow [258]

Answer:

8 one-dollar bills

3 five-dollar bills

2 ten-dollar bills

Step-by-step explanation:

Let x = # of one-dollar bills, y = # of five-dollar bills, and z = # of ten-dollar bills. Total amount in the wallet is $43, so the first equation would be 1x + 5y + 10z = 43. Next, there are 4 times as many one-dollar bills as ten-dollar bills, so x = 4z. There are 13 bills in total, so x + y + z = 13

x + 5y + 10z = 43

x = 4z

x + y + z = 13

x + 5y + 10z = 43

x + 0y - 4z = 0

x + y + z = 13

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-y - 5z = -13

5y + 14z = 43

-5y - 25z = -65

-11z = -22

z = 2

x = 4z

x = 4*2 = 8

x + y + z = 13

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10 + y = 13

y = 3

3 0
1 year ago
Which of the following relations is a function?
Agata [3.3K]

Answer:

D

Step-by-step explanation:

Because in D, there no x-value that are repeating in the list.

For example A, the value 8 and -8 are being repeated twice, which makes this relation not a fuction.

5 0
3 years ago
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