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2 years ago

Find the slope of the line passing through the points (-6,2), (0,-6).

Mathematics

1 answer:

Serhud [2]2 years ago

3 0

C. -4/3

$slope = \frac{(y _{2} - y _{1}) }{(x _{2} - x _{1} )} \\ = \frac{( - 6 - 2)}{(0 -( - 6)} \\ = \frac{ - 8}{ 6} \\ = - \frac{4}{3}$

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Gennadij [26K]

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3 years ago

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Write the point-slope form of the equation of the line that passes through the points (-3, 5) and (-1, 4). Please answer quickly

Oksanka [162]

The point-slope form of the equation of a line is

$y - y_1 = m(x - x_1)$

where

$(x_1, y_1)$

is a point on the line, and

$m$

is the slope of the line.

We can use either one of the two given points as the point on the line.
We also need to find the slope. We can use the coordinates of the two given points to find the slope of the line.

The slope of the line that passes through points

$(x_1, y_1)$ and $(x_2, y_2)$

is

$m = \dfrac{y_2 - y_1}{x_2 - x_1}$

Let's find the slope using (-3, 5) as point 1 and (-1, 4) as point 2.

$m = \dfrac{4 - 5}{-1 - (-3)} = \dfrac{-1}{-1 + 3} = \dfrac{-1}{2} = -\dfrac{1}{2}$

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3 years ago

Evaluate in 5. A.) 0.62 B.) 0.70 C.) 1.61 D.) 1.95

Len [333]

Answer:

option C) 1.61

Step-by-step explanation:

The question is to evaluate the natural logarithm of 5. Natural logarithms are logarithms with base e.

e is the irrational number equal to 2.71828182845904523536028747 ... (being irrational the decimals do not end and do not have a repetition period).

Logarithms are evaluated using tables or scientific calculators.

ln (5) = 1.6094379... it is also an irrational number, so it has infinite decimals with no repetition period.

So, rounding to two decimal numbers, ln (5) = 1.61, which is the option C).

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2 years ago