MATHEMATICS COLLEGE

Find the slope of the line that passes through 6, 0 and −3, 2

Answers

Answer 1

Answer:

Answer:

slope = - $(2)/(9)$

Step-by-step explanation:

calculate the slope m using the slope formula

m = $\frac{y_(2)-y_(1) }{x_{2-x_(1) } }$

let (x₁, y₁ ) = (6, 0 ) and (x₂, y₂ ) = (- 3, 2 )

substitute these values into the formula for m

m = $(2-0)/(-3-6)$ = $(2)/(-9)$ = - $(2)/(9)$

Related Questions

Which expression can be used to determine the product of -4 and 3 1/4
The length of time a person takes to decide which shoes to purchase is normally distributed with a mean of 8.21 minutes and a standard deviation of 1.90. Find the probability that a randomly selected individual will take less than 6 minutes to select a shoe purchase. Is this outcome unusual?
WILL MARK BRAINLIEST PLEASE HELP
Identify the surface with the given vector equation. r(s, t) = s sin 4t, s2, s cos 4ta. planeb. hyperbolic paraboloidc circular paraboloidd.circular cylindere. elliptic cylinder
lled a 12:3:112:3:1 ratio. Such a model can provide the basis for the null hypothesis in a significance test. A cross of white and green summer squash plants gives the number of squash in the second generation F2:131F2:131 white squash, 3434 yellow squash, and 1010 green squash. Are these data consistent with a 12:3:112:3:1 dominant epistatic model of genetic inheritance( white being dominant)? The null hypothesis for the chi‑square goodness‑of‑fit test is

Find the area of the shaded segment of the circle. (Round your answer to the nearest hundredth). (7.4 Segment of a Circle)

Answers

Answer: 353.77

Step-by-step explanation:

Let's start by considering the sector ACB.

The area of this sector is $\pi \cdot 24^(2) \cdot (120)/(360)=192\pi$

Now, let's consider the area of triangle ACB. Its area is given by:

$(1)/(2) \cdot 24 \cdot 24 \cdot \sin 120^(\circ)=144√(3)$

So the area of the shaded segment is $192\pi -144√(3) \approx 353.77$

Correlation is a measure of the direction and strength of the linear (straight-line) association between two quantitative variables. The analysis of data from a study found that the scatter plot between two variables, x and y, appeared to show a straight-line relationship and the correlation (r) was calculated to be -0.84. This tells us that a. there is little reason to believe that the two variables have a linear association relationship
b. all of the data values for the two variables lie on a straight line.
c. there is a strong linear relationship between the two variables with larger values of x tending to be associated with larger values of the y variable.
d. there is a strong linear relationship between x and y with smaller x values tending to be associated with larger values of the y variable.
e. there is a weak linear relationship between x and y with smaller x values tending to be associated with smaller values of the y variable

Answers

Answer:

Step-by-step explanation:

The correlation coefficient r=-0.84 denotes that there is inverse relationship between x and y. It means that as the x values increase the y values decrease whereas as the x values decreases the y-values increases. Also, r=-0.84 denotes the strong relationship between x and y because it is close to 1. So, r=-0.84 denotes that there is strong linear relationship between x and y with smaller x values tending to be associated with larger y values.

Final answer:

The correlation coefficient of -0.84 indicates a strong inverse relationship between x and y, with smaller x values generally corresponding to larger y values.

Explanation:

Based on the given correlation coefficient of -0.84, the correct answer is option d. This option states that there is a strong linear relationship between variables x and y, with smaller x values tending to be associated with larger values of the y variable.

A correlation coefficient communicates both the strength and direction of a linear relationship between two variables. In this context, a coefficient of -0.84 indicates a strong relationship (values close to -1 or 1 denote strong relationships), and because the value is negative, it reflects an inverse or negative correlation, meaning y tends to decrease as x increases, and vice versa.

Learn more about Correlation Coefficient here:

brainly.com/question/33643115

#SPJ3

How to do long division?

Answers

Set up the equation. On a piece of paper, write the dividend (number being divided) on the right, under the division symbol, and the divisor (number doing the division) to the left on the outside. ...

Divide the first digit. ...

Divide the first two digits. ...

Enter the first digit of the quotient.

this is how to do long divison i hope you understand it

A submarine at - 45 feet dives 50 feet. Write an expression to represent the submarine's elevation. Need help