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Romashka [77]
3 years ago
12

Find the equation of a line that contains the points (−3,−1) and (−4,−7). Write the equation in slope-intercept form

Mathematics
1 answer:
BARSIC [14]3 years ago
8 0

Answer:

y =6x+17

Step-by-step explanation:

First we need to find the slope

m = (y2-y1)/(x2-x1)

   = (-7- -1)/(-4 - -3)

   = (-7+1)/(-4+3)

   -6/-1

   6

The slope intercept form of the equation is

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

y = 6x+b

Substitute a point into the equation

-1 = 6(-3) +b

-1 = -18+b

Add 18 to each side

17 =b

The equation is

y =6x+17

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Oduvanchick [21]

Answer:

m = -7/2

Step-by-step explanation:

(y2-y1) / (x2-x1)

->

(-5 - 2) / ( -1 -3)

= -7/2

hope that helps :D

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3 years ago
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Answer:

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Step-by-step explanation:

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A company produces fruity drinks that contain a percentage of real fruit juice. Drink A contains 20% real fruit juice and Drink
Setler [38]

Answer:

There needs to be 300 liters of Drink A and 270 liters of Drink B

Step-by-step explanation:

Let a = the amount of Drink A and b = the amount of Drink B

Multiplying a number by 0.2 is the same as calculating 20% of it and same goes with 15% and 0.15. This makes our equation for the amount of fruit juice:

0.2a + 0.15b = 100.5

We know what the difference between a and b will be 30 liters so:

a - b = 30

Now we have our system of equations

To cancel out a, we can multiply the first equation by -5 so we will now have:

-a - 0.75b = -502.5

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Adding these two equations together, we get:

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Both sides are negative, so we can take the negative signs away.

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Now divide both sides by 1.75

b = 270

Plugging 270 into b, we have:

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a - 270 = 30

Add 270 to both sides

a = 300

There needs to be 300 liters of Drink A and 270 liters of Drink B

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Jack’s favorite sports drink comes in a 20-ounce bottle. the manufacturer of the sports drink requires a tolerance of 0.4 ounce.
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Answer:

Answer:

Step-by-step explanation:

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The weight can be:

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2) larger than or equal to 20 oz - 0.4 oz:    then  

and which combined, can be written as a double inequality;

This double condition can also be written using the absolute value symbol as:  

Step-by-step explanation:

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