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3 years ago

What is the slope of the line through the points (-2, -1) and (8, -3)

Mathematics

2 answers:

KiRa [710]3 years ago

5 0

Answer:

The slope of the line through the points (-2,-1) and (8,-3) is -0.2. Have a nice day and hope this helps.

Alex777 [14]3 years ago

5 0

Answer:

The answer is $-0.2$

Step-by-step explanation:

In order to determine the slope of the line, we have to know about how calculate a slope.

There are two ways of get a slope of a line:

Knowing the linear equation and then we need to free the "y" variable (dependent variable). The coefficient of the "x" variable (independent variable) is the slope.
From to two points that belong to the linear equation.

The formula of the second way is the next:

m=slope of the linear equation

P1=(x1,y1)=first pair of coordinate

P2=(x2,y2)=second pair of coordinate

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

In this case, we have two points, so we use the formula:

P1=(-2,-1)

P2=(8,-3)

$m=\frac{-3-(-1)}{8-(-2)}\\ \\m=\frac{-3+1}{8+2} \\\\m=\frac{-2}{10} \\\\m=-0.2$

Finally, the slope of the line is $-0.2$

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-(1/2)³ is equivalent to?

Brut [27]

Answer:

-0.125

Step-by-step explanation:

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3 years ago

PLEASE HELP! Write a numerical expression involving division in which the first step in evaluating the expression is addition. D

Tanzania [10]

4/(1+3) or $\frac{4}{1+3}$

Addition is the first step for two reasons.
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3 years ago

The city library donated some children’s books to Mr.

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According to the statement 160 books were given to the class.

The correct option is C.

<h3>What is linear equation?</h3>

One or two variables make up a linear equation. Neither the numerator nor the denominator of a fraction can be a variable in a linear equation raised to a power higher than 1. All of the points on a coordinate grid sit on the same line when you identify the values that together make a linear equation true and plot those values.

<h3>According to the given information:</h3>

Let the no. of students be s:

Let the no. of books be b:

Given that there will be 20 books left after each student selects 4 books,

b = 4s + 20

And the remaining students take 5 books each, therefore b=5(s3), even if 3 pupils choose not to take a book.

comparing the value b

4s+20=5(s−3)

4s+20=5s−15

s=20+15

s=35

To do this, change the value of s in b=4s+20 to what is shown below:

b=4(35)+20

b=140+20

b=160

160 books were given to the class.

To know more about linear equation visit:

brainly.com/question/766814

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2 years ago

A circle has the equation 2x²+12x+2y²−16y−150=0.

KonstantinChe [14]

Answer: B. The coordinates of the center are (-3,4), and the length of the radius is 10 units.

Step-by-step explanation:

The equation of a circle in the center-radius form is:

$(x-h)^{2} +(y-k)^{2}=r^{2}$ (1)

Where $(h,k)$ are the coordinates of the center and $r$ is the radius.

Now, we are given the equation of this circle as follows:

$2x^{2}+12x+2y^{2}-16y-150=0$ (2)

And we have to write it in the format of equation (1). So, let's begin by applying common factor 2 in the left side of the equation:

$2(x^{2}+6x+y^{2}-8y-75)=0$ (3)

Rearranging the equation:

$x^{2}+6x+y^{2}-8y=75$ (4)

$(x^{2}+6x)+(y^{2}-8y)=75$ (5)

Now we have to complete the square in both parenthesis, in order to have a perfect square trinomial in the form of $(a\pm b)^{2}=a^{2}\pm+2ab+b^{2}$ :