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3 years ago

A line with a slope of – 5 passes through the points (3,n) and (4, – 5). What is the value of n?

2 answers:

5 0

Step-by-step explanation: To find n, plug all the given information into the slope formula, which is shown here: m = y₂ - y₁ / x₂ - x₁.

Since our slope or m equals -5, we start

by plugging a -5 in for m in our formula.

Now, y₂ - y₁ would be -5 - n and x₂ - x₁ would be 4 - 3.

So we have -5 = -5 - n/4 - 3.

First we would simplify 4 - 3 to get 1.

So in our next step we have -5 = -5 - n/1.

Now get rid of the fraction by multiplying both sides by 1

and since multiplying anything by 1 is itself, just cancel the 1.

So we have -5 = -5 - n.

Add 5 to both sides to get 0 = -n.

Divide both sides by -1 to get 0 = n.

So the value of n is 0.

masha68 [24]3 years ago

3 0

Answer:

n = 0

Step-by-step explanation:

slope = y2-y1/x2-x1

-5 -n / 4-3 = -5

-5 -n /1 =-5

-5 - n = -5

n = 0

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Here we need to see which axioms or properties are used in each case.

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Here we have a given number (ab²) times zero, and the outcome is zero. This comes from the existence of zero, which states that there must exist a value that represents nothingness, the zero, such that the product between any number and this one is zero.

B: (7 + 5) + 1 = 7 + (5 + 1)

This is the associative property of addition, which says that we can perform the addition in any order we want.

C: 6 = 6

This is the reflexive property of equality, which says that every number is equal to itself.

D: 7(x – 3) = 7x - 21

This is the distributive property, which says that:

C*(A + B) = C*A + C*B

We can see that if we apply it to the left side we get:

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This is the existence of the opposite number. This property says that for any real number N there exists a real number A such that:

N + A = 0

Particularly, in the real set, we can see that A = -N

G: (a + b) + 0 = 0 + (a + b)

Here we can see that the order changes in the addition, this is the commutative property of the addition, which says that:

A + B = B + A

So the elements in the sum can commute.

H: if x = -1, and -1 = z, then x = z

This is the transitive property, we can apply it in the next way:

x = -1 = z

then x = z

So if both variables are equal to the same number, then the variables are equal.

I: 4x×1 = 4x

This is the existence of the identity with respect to multiplication. It says that there exist a number A such that for any number X, the product between A and X is equal to X:

X*A =X

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3 years ago

Use inverse operations to solve the following equations HELP NOW!!!!

Doss [256]

Y=-7

41=6-5y
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3 years ago

The graph represents function 1, and the equation represents function 2:

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If there was a graphical representation, I would be happy to assist you.

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4 years ago

The length of a rectangle is 2 Inches less than three times its width, and its perimeter is 36 Inches. Find the width of the

elixir [45]

Answer: Width = 5 inches

Concept:

Here, we need to know the idea of the perimeter.

A perimeter is a path that encompasses/surrounds/outlines a shape.

Perimeter of rectangle = 2 (w + l)

w = width

l = length

If you are still confused, please refer to the attachment below for a graphical explanation.

Solve:

w = w

l = 3w - 2

P = 36 inches

Given formula

P = 2 (w + l)

Substitute the value into the formula

36 = 2 (w + 3w - 2)

Simplify values in the parentheses

36 = 2 (4w -2)

Divide 2 on both sides

36 / 2 = 2 (4w - 2) / 2

18 = 4w - 2

Add 2 on both sides

18 + 2 = 4w - 2 + 2

20 = 4w

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20 / 4 = 4w / 4

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Hope this helps!! :)

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3 years ago

Write an equation in point slope form of the line that passes through the given point and has the given slope (7,-6);m=1/2

AveGali [126]

The equation of line is:

$y = \frac{1}{2}x-\frac{19}{2}$

Further explanation:

The general form of point-slope equation is:

$y = mx+b$

It is given that m = 1/2

Putting in the value of m

$y = \frac{1}{2}x+b$

We have to find the value of b so putting the value of x and y

(x,y) = (7,-6)

$-6 = \frac{1}{2}(7)+b\\-6 = \frac{7}{2} +b\\b = -6-\frac{7}{2}\\b = \frac{-12-7}{2}\\b = \frac{-19}{2}$

Putting the values of b and m in general form

$y = \frac{1}{2}x-\frac{19}{2}$

Keywords: Equation of line, point-slope form

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3 years ago