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2 years ago

which of the following is a point slope equation of a line with the point (-6,2) and a slope of 1/2?

Mathematics

1 answer:

wariber [46]2 years ago

3 0

Answer:

y - 2 = 1/2(x + 6)

General Formulas and Concepts:

<u>Algebra I</u>

Point-Slope Form: y - y₁ = m(x - x₁)

x₁ - x coordinate
y₁ - y coordinate
m - slope<u> </u>

Step-by-step explanation:

<u>Step 1: Define</u>

<em>Identify</em>

Point (-6, 2)

Slope <em>m</em> = 1/2

Substitute in variables [Point-Slope Form]: y - 2 = 1/2(x - -6)
Simplify: y - 2 = 1/2(x + 6)

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Answer:

$(x^2 + 4)(x + 2)(x - 2)$

Step-by-step explanation:

Hello!

We can use the difference of square method.

<h2>Difference Of Squares (DOS)</h2>

The formula for the DOS is $(a + b)(a - b) = a^2 - b^2$

It is a simple way to factor polynomials.

The criteria:

Has to begin and end with a perfect square
The operation has to be subtraction

<h3>Factor:</h3>

$x^4 - 16$

Begins with a perfect square (x² * x²) and ends with a perfect square (4 * 4)

$(x^2 + 4)(x^2 - 4)$

Warning! Watch out, there may be another DOS!

$x^2 - 4$ is another DOS

$(x^2 + 4)(x + 2)(x - 2)$

The x² + 4 is not a DOS because the operation is addition.

The final factored form is $(x^2 + 4)(x + 2)(x - 2)$

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1 year ago

If the correlation between height and weight of a large group of people is 0.75, find the coefficient of determination (as a

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Independent variable is the predictor variable which is the height and dependent variable is the response variable which is weight in this scenario.

The square of correlation coefficient gives the coefficient of determination. It is denoted by R² (R squared).

We are given:
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So,
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