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amid [387]
3 years ago
10

How do I find the slope to this equation ? 2х-Зу = 12

Mathematics
2 answers:
antiseptic1488 [7]3 years ago
8 0

Answer:

2/3

Step-by-step explanation:

<u>Slope of the equation is determined as per slope-intercept form:</u>

  • y = mx +b

<u>Bring the given equation to mentioned form:</u>

  • 2x - 3y = 12        ⇒ <em>make y the subject</em>
  • 3y = 2x - 12        ⇒ <em>divide all terms by 3</em>
  • y = 2/3x - 4        ⇒ <em>this is the slope-intercept form</em>

Since m = 2/3, it is the slope of the given equation

evablogger [386]3 years ago
3 0

Answer:

slope = \frac{2}{3}

Step-by-step explanation:

The equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

Given

2x - 3y = 12 ( subtract 2x from both sides )

- 3y = - 2x + 12 ( divide all terms by - 3 )

y = \frac{2}{3} x - 4 ← in slope- intercept form

with slope m = \frac{2}{3}

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Answer:

1. B

2. A

3. A

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Step-by-step explanation:

Hello!

The study claimed that subjects who suffer depression are more likely to have a heart attack than those who are not depressed.

1551 persons were interviewed as part of the experiment and classified according to their answers in two groups "suffered depression" and "didn't suffer depression"

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1.

An observational study is one where the researcher only determines the variables he wants to study without controlling or influencing any factor of the population of interest. Because there is no interference from the researchers, there is a high risk that confounding factors may affect the conclusions of it. These studies are usually precursors to experimental tests, it allows the researcher to have an idea of the association between the two variables but you cannot establish causal relationships from them.

This is an example of an observational study, the researcher merely recorded the variables of interest without interfering with any aspects that may influence them. (For example diet or exercise habits of the subjects)

2. and 3.

The objective of the study is to determine if "depression" causes "disposition to heart attacks"

The explanatory variable is "depression status of the subject" since it is what is suspected to influence over the heart condition of said subject and "heart attack status" is the response variable.

4.

Of the 1551 subjects originally studied, 444 were classified as depressed, of these 27 had heard attacks. You can calculate the "proportion of subjects that suffered depression and had heart attacks" as:

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I hope it helps!

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I took the test and 65 is off of the percentage list!

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