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djverab [1.8K]
3 years ago
9

How do you convert from standard form to slope

Mathematics
1 answer:
Sever21 [200]3 years ago
3 0

Answer:

Step-by-step explanation:

A standard form equation is when it is set up

Ax + By = C.

6x + 2y = 4

A slope-intercept form equation is when it is set up y=mx+b.

Y = - 3x + 2

In order to go from one form to another, all you have to do is change the order of the given numbers.  First you want to move the Ax to the opposite side of the equation, by either adding or subtracting it.  At this point your equation will be set up By = -Ax + C.  Then you want to divide the B from the By and the rest of the equation.  Therefore you will have y = - Ax/B + C/B.  This is the same thing as the slope-intercept form, just a few of the letters are different.

Example 1:          

Change from standard to slope form

         

8x + 4y = 16

8x + 4y = 16  first subtract  8x

4y = -8x + 16   then divide all by 4

y = -2x + 4   slope form

Example 2:

 6x + 3y = 21

6x + 3y = 21  subtract  6x

3y = -6x + 21  then divide all by 3

y = -2x + 7   slope form

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Natasha_Volkova [10]

Answer:

Q = ( -3 , 6 ) .... R = ( -1 , 8 )  ...... S = ( -5 , 7 )

Step-by-step explanation:

Q = ( 1 + ( -4 ) , 4 + 2 ) = ( -3 , 6 )

R = ( 3 + ( -4 ) , 6 + 2 ) = ( -1 , 8 )

S = ( -1 + ( -4 ) , 5 + 2 ) = ( -5 , 7 )

8 0
2 years ago
The art teacher has 7 bottles of glue that are each 2/5 full. He combines them so he will have fewer bottles. How many bottles o
Katen [24]

Teacher will have 3 bottles of glue after he combines

<em><u>Solution:</u></em>

Given that,

The art teacher has 7 bottles of glue that are each 2/5 full

He combines them so he will have fewer bottles

<em><u>To find: bottles of glue does he have after he combines them</u></em>

From given,

Total bottles = 7

Each is 2/5 full

Therefore, multiply 7 with 2/5 to get total bottles of glues he will have after combining

Number\ of\ bottles\ of\ glues = 7 \times \frac{2}{5}\\\\Number\ of\ bottles\ of\ glues = \frac{14}{5} = 2.8 \approx 3

Thus teacher will have 3 bottles of glue after he combines

7 0
3 years ago
Realy easy question for soo many points
Art [367]

Answer: 129

Step-by-step explanation:

It is 129 because y is less than 70 so the greatest possible value for that is 69 and z is less than or equal to 60 so 69 + 60 =129

4 0
3 years ago
Marcella bought a 25-ounce bottle of olive oil for $5.88. She used 60% of the olive oil in two weeks. What is the cost of the pe
horrorfan [7]
The answer is $3.53
$5.88 * 0.60 = 3.528
5 0
3 years ago
0.5, 3/16, 0.75, 5/48 least to greatest
jarptica [38.1K]
An easy way for me to do this is to either make all of the fractions into decimals or all the decimals into fractions, whatever you prefer. I prefer fractions, but for typing reasons I’m going to make them all decimals. Making 5/48 into a decimal you divide 5 by 48 and get 0.104... and divide 3 by 16 and get 0.1875. Then from there, look at whatever tenths place number is the least (the number after the decimal). Two of them have one, so moving onto the next number, 8>0, which means 0.104 is less then 0.1875. Then 5<7. So from least to greatest, 5/48 (0.104), 3/16 (0.1875), 0.5, 0.75.
Good Luck!
7 0
3 years ago
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