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3 years ago

What is the equation in point slope form of the line that passes through the points (-1, 4) and (3,-4) ?

Mathematics

1 answer:

zheka24 [161]3 years ago

7 0

The point-slope form:

$y-y_1=m(x-x_1)$

The formula of a slope:

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

We have the points (-1, 4) and (3, -4). Substitute:

$m=d\frac{-4-4}{3-(-1)}=\dfrac{-8}{4}=-2\\\\y-(-4)=-2(x-3)\\\\\boxed{y+4=-2(x-3)}\to\boxed{C.}$

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Help what fudge doodles

vlabodo [156]

Answer:

{(-2, -7), (-1, -5), (0, -3), (1, -1), (2, 1)}

Step-by-step explanation:

Consider an element in the set we want to achieve. This element can be written as the ordered pair (x, y), where x comes from the set {-2, -1, 0, 1, 2} and given some value of x, we can find y (with the formula y = 2 * x - 3).

So to begin finding the set of all pairs in the resulting set, we first begin by listing out all values of x in each pair:

(-2, y)

(-1, y)

(0, y)

(1, y)

(2, y)

Now to find y, we use the formula y = 2 * x - 3, and we get

(-2, 2 * (-2) - 3)

(-1, 2 * (-1) - 3)

(0, 2 * (0) - 3)

(1, 2 * (1) - 3)

(2, 2 * (2) - 3)

which simplifies to

(-2, -7)

(-1, -5)

(0, -3)

(1, -1)

(2, 1)

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3 years ago

The table shows the number of students in a school who like dodgeball and/or ping pong:

TEA [102]

By row, we have the number of students who like Ping Pong is 44 students and those who don't like Ping Pong is 56 students.

The number of students who like both Ping Pong and Dodgeball is 26 out of 44 students who like Ping Pong

Answer: 26/44 = 13/22

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3 years ago

The combined weight of the people in an elevator is 49% of the 3,025-pound capacity. Which would be the best way to estimate the

Lena [83]

The answer is c. Find 50% of 3,000.

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3 years ago

Read 2 more answers

Factor the polynomical completely. m^4+13m^2+36

mr_godi [17]

$m^4+13m^2+36= (m^2+4)(m^2+9)$

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3 years ago

the equation y = 1/5x represents a proportional relationship. explain how you can tell the relationship is proportional from the

Pachacha [2.7K]

Answer:

Yes, y = $\frac{1}{5}$ x represents a proportional relationship and the constant of proportionality is $\frac{1}{5}$

Step-by-step explanation:

<em>The Proportional is a relationship between two quantity one of them equals the product of the other and a constant, where this constant called the constant of proportionality </em>

If x and y are proportion, then y = k x, where k is the constant of proportionality

The proportional relationship represented graphically by a line passing through the origin point (0, 0)

Let us solve the question

∵ y = $\frac{1}{5}$ x

→ It the same as the form of the proportional equation above

∵ $\frac{1}{5}$ is a constant

∴ y is the product of x and constant

∴ y = $\frac{1}{5}$ x represents a proportional relationship

Substitute x by 0 to find y and show it represented by a line passing through the origin

∵ x = 0

∴ y = $\frac{1}{5}$ (0) = 0

→ That means point (0, 0) lies on the line which represents the equation

∴ The line which represents this relation is passing through the origin

∴ y = $\frac{1}{5}$ x represents a proportional relationship

∵ y = kx, k is the constant of proportionality

∵ y = $\frac{1}{5}$ x

∴ k = $\frac{1}{5}$

∴ The constant of proportionality is $\frac{1}{5}$

5 0

4 years ago