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2 years ago

What is the slope of the line through the points (-4, 2) and (-16, -6)?

Mathematics

2 answers:

Blababa [14]2 years ago

8 0

Answer:

The slope is equal to $\frac{2}{3}$ . So the right answer is A.

Step-by-step explanation:

We know that if we are given to points of a function we can find out its slope by using the following formula....

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

Where m is the slope, $x_{1}$ and $y_{1}$ are the coordinates of the first point, $x_{2}$ and $y_{2}$ are coordinates of the second point.

Let (-4, 2) be $(x_{1} , y_{1})$

Let (-16, - 6) be $(x_{2}, y_{2} )$

then......

Effectus [21]2 years ago

7 0

Answer:

A: 2/3

Step-by-step explanation:

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5. Write the slope-intercept form of the equation that passes through the point (-1, 2) and is perpendicular to the line y = 3/2

kap26 [50]

Answer:

D. y = -2/3 x + 4/3

Step-by-step explanation:

When you have a perpendicular line, everything except the y-intercept becomes opposite. So 3/2x + 6 will become -2/3x.

To find the slope, you have to plug the coordinates into the equation so far which is y = -2/3x + b

y = -2/3x + b

2 = -2/3(-1) + b

2 = 2/3 + b

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So the equation is y = -2/3 x + 4/3.

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Answer:

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Step-by-step explanation:

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2 years ago

Simplify completely*****

san4es73 [151]

Answer:

$\displaystyle \frac{2(x + 4)}{3}$

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets
Parenthesis
Exponents
Multiplication
Division
Addition
Subtraction

Left to Right

Algebra I

Terms/Coefficients
Factoring

Step-by-step explanation:

Step 1: Define

$\displaystyle \frac{4x + 16}{6}$

Step 2: Simplify

[Fraction] Factor numerator: $\displaystyle \frac{4(x + 4)}{6}$
[Fraction] Reduce: $\displaystyle \frac{2(x + 4)}{3}$

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2 years ago

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suter [353]

Answer:

(x+1)^2 + (y+1)^2 = 49

Step-by-step explanation:

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(x-h)^2 + (y-k)^2 = r^2

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