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2 years ago

How to find slope within two sets of points

Mathematics

1 answer:

EastWind [94]2 years ago

3 0

The slope within two sets of points is calculated using the slope equation $m = \frac{y_2 -y_1}{x_2 -x_1}$

<h3>What is slope?</h3>

The slope of a line or points is the rate of change of the line.

This in other words means that, the vertical change per unit horizontal change

Assume that the points are given as:

(x1, y1) and (x2, y2)

The slope (m) of the points is:

$m = \frac{y_2 -y_1}{x_2 -x_1}$

Hence, the equation of two sets of points is $m = \frac{y_2 -y_1}{x_2 -x_1}$

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Nathan needs some paint for his bedroom. He finds two cans of white paint, four cans of green paint and three cans of pink paint

horsena [70]

The probability of randomly selecting a can of pink paint is P = 1/3, so the correct option is A.

<h3>What is the chance that he will paint his bedroom pink?</h3>

Assuming that all the cans of paint have the same probability of being randomly selected, the probability that he will choose a pink can is equal to the quotient between the number of pink cans and the total number of cans.

There are 2 cans of white, 4 cans of green, and 3 cans of pink, so a total of 9 cans.

Then the probability is:

P = 3/9 = 1/3.

The correct option is A.

If you want to learn more about probability:

brainly.com/question/251701

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4 0

2 years ago

Please hurry this is very urgent!!!!About fifty percent of the population of Alaska lives within a 50-miles radius of Anchorage.

STALIN [3.7K]

Answer: divide the big number by 2

Step-by-step explanation: dude it literally tells you the answer almost xD jsut divide the big number by 2

4 0

3 years ago

Read 2 more answers

Solve the system of equations y = 2x + 3 and 4x - 2y = -6 using a graphical method.

emmasim [6.3K]

Answer:

-1

Step-by-step explanation:

You are asked to solve this set by substitution. Note that the first equation defines

the value of y in terms of x. Therefore, you can use the right side of this equation

(2x + 3) as a substitution for y in the second equation. When you substitute 2x +3 for y

in the second equation, the result is:

2x + 3 = 4x + 7

Let's set the goal of getting all the terms that contain x isolated on the left side of

the equal sign and all the constants by themselves on the right side. Begin by getting rid

of the +3 on the left side by subtracting 3 from the left side. But if you subtract

3 from the left side you must also subtract 3 from the right side. These subtractions

result in the following sequence:

2x + 3 - 3 = 4x + 7 - 3

Combining numbers on the left side and on the right side simplifies the equation to:

2x = 4x + 4

Now, in a similar fashion, let's get rid of the 4x on the right side by subtracting

4x from the right side. When we do this subtraction, to keep the equation in balance

we must also subtract 4x from the left side. This results in:

2x - 4x = 4x - 4x + 4

On both sides of the equation combine terms containing x to get:

-2x = 4

Finally, solve for x by dividing both sides of the equation by -2 because -2 is the multiplier

of x. This results in:

x = 4/-2 = -2

So now that we know x = -2, we can return to either one of the original equations

in the equation set and substitute -2 for x. Then we can solve for y. Let's return

to the first equation and substitute -2 for x. This begins with:

y = 2x + 3

Then substituting -2 for x gives:

y = 2*(-2) + 3 = -4 + 3 = -1

7 0

3 years ago

The length of a rectangle is three times it’s width. The perimeter is 100. What are the dimensions

JulijaS [17]

The length of rectangle is 37.5 and width is 12.5

Step-by-step explanation:

Given,

Width of rectangle = w

Length of rectangle = 3w

Perimeter of rectangle = 100

Perimeter = 2(Length+Width)

$100=2(3w+w)\\100=2(4w)\\100=8w\\8w=100$

Dividing both sides by 8

$\frac{8w}{8}=\frac{100}{8}\\w=12.5$

Width of rectangle = 12.5

Length of rectangle = 3(12.5) = 37.5

The length of rectangle is 37.5 and width is 12.5

Keywords: Rectangle, perimeter

Learn more about perimeters at:

#LearnwithBrainly

3 0

3 years ago

Equation P: y + z = 4

Eduardwww [97]

$y+z=4\\
3y+7z=15\\

-3y-3z=-12\\
3y+7z=-12\\
4z=-24\\
z=-6$

Multiply the top equation by -3 and added to the second one.

By Elimination.

4 0

3 years ago