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1 year ago

Find the slope of the line that passes through (1,

Mathematics

1 answer:

eimsori [14]1 year ago

6 0

<h3>Answer: -2/3</h3>

Work Shown:

$(x_1,y_1) = (1,3) \text{ and } (x_2,y_2) = (4,1)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{1 - 3}{4 - 1}\\\\m = -\frac{2}{3}\\\\$

The slope of -2/3 means we move down 2, then to the right 3.

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3 years ago

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2 years ago

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Natalija [7]

Split up the interval [2, 5] into $n$ equally spaced subintervals, then consider the value of $f(x)$ at the right endpoint of each subinterval.

The length of the interval is $5-2=3$ , so the length of each subinterval would be $\dfrac3n$ . This means the first rectangle's height would be taken to be $x^2$ when $x=2+\dfrac3n$ , so that the height is $\left(2+\dfrac3n\right)^2$ , and its base would have length $\dfrac{3k}n$ . So the area under $x^2$ over the first subinterval is $\left(2+\dfrac3n\right)^2\dfrac3n$ .

Continuing in this fashion, the area under $x^2$ over the $k$ th subinterval is approximated by $\left(2+\dfrac{3k}n\right)^2\dfrac{3k}n$ , and so the Riemann approximation to the definite integral is

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3 years ago

(5-8) (1,4) m = -3<br> find the slope

tatiyna

Answer:

slope is -3

Step-by-step explanation:

m is the slope, this may have been a trick question.

by the points given the slope is 1

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2 years ago