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Elenna [48]
2 years ago
6

What's the slope of the line passing through the points -1, 8 - 7, 3​

Mathematics
1 answer:
tatuchka [14]2 years ago
5 0

Answer:

slope = 5/6

Step-by-step explanation:

Since you were given two points, you can use the point-slope formula to find the slope. The general equation looks like this:

y₁ - y₂ = m(x₁ - x₂)

In this formula, "m" represents the slope. To find the slope, plug the values from the two points into the equation. Make sure to put the values from the same point in the variable with the same number.

Point 1: (-1, 8)

Point 2: (-7, 3)

y₁ - y₂ = m(x₁ - x₂)                          <----- Original formula

8 - y₂ = m(-1 - x₂)                           <----- Plug in "x" and "y" values from Point 1

8 - 3 = m(-1 - (-7))                           <----- Plug in "x" and "y" values from Point 2

5 = m(-1 - (-7))                                <----- Simplify left side

5 = m(6)                                        <----- Simplify inside parentheses

5/6 = m                                       <----- Divide both sides by 6

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A drawer contains 11 identical red socks and 8 identical black socks. Suppose that you choose 2 socks at random in the dark, wha
DedPeter [7]

Answer:

The probability of getting a pair of red socks is 0.322

Step-by-step explanation:

According to the given data we have that A drawer contains 11 identical red socks and 8 identical black socks, hence, the total number of socks is 19, therefore, in order to calculate the probability of getting a pair of red socks we would have to use the following formula:

probability of getting a pair of red socks=11C2/19C2

probability of getting a pair of red socks=55/171

probability of getting a pair of red socks=0.322

The probability of getting a pair of red socks is 0.322

4 0
3 years ago
Find the product of the two binomials below<br> (x-8) (x+4)
LekaFEV [45]
Multiply it out
x^2 + 4x -8x -32
Combine like terms
x^2 -4x - 32
3 0
3 years ago
Read 2 more answers
What is the equation of the line passing through the points (–25, 50) and (25, 50) in slope-intercept form?
allochka39001 [22]

The equation of the line passing through the points (-25, 50) and (25, 50) in slope-intercept form is <u>y = 50</u>. Hence, <u>4th option</u> is the right choice.

The slope-intercept form of a line is written as y = mx + b, where m is the slope of the line, and b is the y-intercept.

The slope of a line passing through the points (x₁, y₁) and (x₂, y₂) can be calculated using the formula, slope (m) = (y₂ - y₁)/(x₂ - x₁).

Therefore, slope of the line passing through the points (-25, 50) and (25, 50) can be calculated as m = (50 - 50)/(25 - (-25)) = 0/(-50) = 0.

We can find the equation of the line using the point-slope formula, according to which, a line having a slope m and passing through the point (x₁, y₁) can be written as y - y₁ = m(x - x₁).

Therefore, the equation of the given line can be written as:

y - 50 = 0(x - 25)

or, y - 50 = 0,

or, y = 50.

Therefore, the equation of the line passing through the points (-25, 50) and (25, 50) in slope-intercept form is <u>y = 50</u>. Hence, <u>4th option</u> is the right choice.

Learn more about the equation of a line at

brainly.com/question/18831322

#SPJ10

3 0
2 years ago
Write an equation of a parabola that opens to the left, has a vertex at the origin, and a focus at (–4, 0).
8_murik_8 [283]

Answer:

y^{2}=-16x

Step-by-step explanation:

we know that

The standard equation of a horizontal parabola is equal to  

(y-k)^{2}=4p(x-h)

where

(h,k) is the vertex

(h+p,k) is the focus

In this problem we have

(h,k)=(0,0) ----> vertex at origin

(h+p,k)=(-4,0)

so

h+p=-4

p=-4

substitute the values

(y-0)^{2}=4(-4)(x-0)

y^{2}=-16x

8 0
3 years ago
In care cadrane se afla graficul functiei ; f:(x)=121x
iragen [17]
<span>Solución X = {0, 121}
</span><span>espero que esto ayude</span>
8 0
3 years ago
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