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Hitman42 [59]
3 years ago
15

Find the slope of the line through points (4, 6) and (-6,2).

Mathematics
1 answer:
Pie3 years ago
6 0

Answer: Slope = 2/5

Concept:

Here, we need to know how to find the slope.

Slope = (y₂ - y₁) / (x₂ - x₁)

If you are still confused, please refer to the attachment below for a clearer version of the formula

Solve:

<u>Given information</u>

(x₁, y₁) = (-6, 2)

(x₂, y₂) = (4, 6)

<u>Given formula</u>

Slope = (y₂ - y₁) / (x₂ - x₁)

<u>Substitute values into the formula</u>

Slope = (6 - 2) / (4 - (-6))

<u>Simplify values in the parentheses</u>

<u>REMEMBER to change [+, -] signs when there is a [-] sign in front</u>

Slope = 4 / (4 + 6)

Slope = 4 / 10

<u>Divide both numerator and denominator by 2 to get the simplest form</u>

Slope = (4 ÷ 2) / (10 ÷ 2)

Slope = 2/5

Hope this helps!! :)

Please let me know if you have any questions

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Answer:

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Step-by-step explanation:

Hi there!

We're given the equation y=-75x-50, which represents a submarine DESCENDING towards the ocean floor, where y is the depth in feet, and x is the number of minutes the submarine is descending

Since the submarine is DESCENDING, we can immediately eliminate A and C, which talk about the submarine ASCENDING

That leaves B and D

Looking at the given equation, y=-75x-50, -75 is the slope, or rate of change, and -50 is the y intercept, or the "beginning" (where the equation will "start")

Therefore, the submarine will start at -50 feet, or 50 feet below sea level

As x is the number of minutes the submarine is descending, that means that if the submarine travels 1 minute, it will descend 75 feet (-75*1=-75), at 2 minutes, it'll descend 150 feet (-75*2=-150), and so on

So that means the submarine must be descending at a rate of 75 feet per minute

Therefore D is the correct answer

Hope this helps! Good luck on your assignment :)

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3 years ago
If $1800 is invested at a rate of 1.4% compounded continuously find the number of years it will take for the balance to reach $2
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Step-by-step explanation:

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3 years ago
A car passes a landmark on a highway traveling at a constant rate of 45 kilometers per hour. Two hours later, a second car passe
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Distance=rate .time

The rate of car 1 is 45km/hr

The rate of 2 car is 70/hr  

We know that the second car left two hours  after the first  

If we let car 1 time =x  

Then the time of second car=x-2

When two car reach the landmark,  

The distance traveled by each will be the same  

Therefore let us set up our equation using the formula for distance  

Distance of car 1 = 45*x=45x

Distance of 2 car = 70(x-2)

=70x-140

Set these two equals to each other to designate when they reach the landmark

45x=70x-140

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X=140/25=28/5

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The time traveled by car 2 in the same direction

=v-2=(5 3/5-)-2= 3 3/5 hours

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Step-by-step explanation:

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