All categories

2 years ago

Find the slope of the line through the given points (4,-2),(-1,8)

Mathematics

1 answer:

nikklg [1K]2 years ago

3 0

Answer:

$\displaystyle m=-2$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Coordinates (x, y)
Slope Formula: $\displaystyle m=\frac{y_2-y_1}{x_2-x_1}$

Step-by-step explanation:

Step 1: Define

Point (4, -2)

Point (-1, 8)

Step 2: Find slope m

Simply plug in the 2 coordinates into the slope formula to find slope m

Substitute in points [Slope Formula]: $\displaystyle m=\frac{8+2}{-1-4}$
[Fraction] Add/Subtract: $\displaystyle m=\frac{10}{-5}$
[Fraction] Divide: $\displaystyle m=-2$

You might be interested in

In the formula, P3 = Div / R - g, the dividend is for period:

Ksenya-84 [330]

If your choices are the following:
A. OneB. TwoC. ThreeD. FourE. Five

Then the answer would be letter D. Four.

7 0

3 years ago

Taylor and Nora go to the movie theater and purchase refreshments for their friends. Taylor spends a total of $69.00 on 6 drinks

fgiga [73]

Answer:

The system if equation that can be used to derive this are

6x + 4y = 69 AND

12x + y = 96

The price of a drink is $7.5

Step-by-step explanation:

The question here says that Taylor and Nora went to the movie theater and purchase refreshments for their friends. Taylor spends a total of $69.00 on 6 drinks and 4 bags of popcorn Nora spends a total of $96.00 on 12 drinks and bag of popcorn.And we are now told to write a system of equations that can be used to find the price of one drink and the price of one bag of popcorn. Using these equations,we should determine and state the price of a drink, to the nearest cent .

Now, Let's assume that the price of a drink is "X" and that of a bag of popcorn to be Y

The first person made a purchase which led to the equation

6x + 4y = 69______ equation 1

And the second person also made a purchase that lead to the equation

12x + y = 96_____ equation 2

We make y the subject of the formula in equation 2 and apply it in 1

Y = 96 - 12x

Now apply the above in equation 1

6x + 4y = 69

6x + 4(96 - 12x)= 69

6x + 384 - 48x = 69

42x = 384 - 69

X = 315/42

X = 7.5

Substitute x= 7.5 in equation 2

12x + y = 96

12(7.5) + y = 96

90 + y = 96

Y = 6

Therefore, the price of a drink is $7.5

4 0

3 years ago

Read 2 more answers

Which situation is best represented by the equation? 35p + 129.50 = 479.50

Ksivusya [100]

Answer:

Step-by-step explanation:

this is because we don't know how many trainers she goes to, so the cost will be 35p. and then include the registration fees she pays.

5 0

2 years ago

A population has a mean µ = 6 and ∑x = 48. How many scores are in the population?

maks197457 [2]

Answer:

Step-by-step explanation:

Recall the formula for the population mean of a data set:

$\mu=\frac{\sum x}{N}$

We already know that μ is 6 and the sum is 48. Substitute:

$6=\frac{48}{N}$

Divide both sides by 48:

$\frac{1}{8}=\frac{1}{N}$

Reciprocal of both sides:

$N=8$

Thus, there are 8 scores in the population size.

And we're done!

4 0

3 years ago

Read 2 more answers

Use the discriminant to describe the roots of each equation. Then select the best description. x2 - 5x + 7 = 0

miv72 [106K]

The general form of a quadratic (second degree) equation is

$a x^{2} +bx+c=0$ , where

$D= b^{2}-4ac$ is called the Discriminant.

The Discriminant determines how many roots the equation will have as follows:

i) if D>0, the equation has 2 roots.
ii) if D=0, the equation has 1 double root.
iii) if D<0, the equation has no roots.

In our equation, $x^{2} -5x+7=0$ , a=1, b=-5, c=7

so the discriminant is D=(-5)^2-4*1*7=25-28<0

Thus the equation has no roots.

Remark: the equation has no roots in the Real numbers, but it has 2 roots in a larger set of numbers to be discussed in the future, the Complex numbers.

5 0

3 years ago