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1 year ago

A line intersects the points (8, 2) and (12, -10). What is the slope of the line in simplest form? m = [?]

Mathematics

2 answers:

Paul [167]1 year ago

8 0

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Answer: $\textsf{y = -3}$

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Given: $\textsf{Goes through (8, 2) and (12, -10)}$

Find: $\textsf{The slope of the line}$

Solution: In order to determine the slope of the line we need to use the slope formula where we just plug in the values and simplify.

<u>Plug in the values</u>

$\textsf{y = }\frac{y_2 - y_1}{x_2 - x_1}$

$\textsf{y = }\frac{-10 - 2}{12 - 8}$

<u>Simplify the expression</u>

$\textsf{y = }\frac{-12}{12 - 8}$

$\textsf{y = }\frac{-12}{4}$

$\textsf{y = -3}$

Therefore, the slope of the line that fits the description that was provided in the problem statement is -3.

KengaRu [80]1 year ago

5 0

<h3>Answer: m = -3</h3>

Work Shown:

$(x_1,y_1) = (8,2) \text{ and } (x_2,y_2) = (12,-10)\\\\m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}\\\\m = \frac{-10 - 2}{12 - 8}\\\\m = \frac{-12}{4}\\\\m = -3\\\\$

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Find the slope of the line that passes through (-33, -27) and (-32, -25).

Snezhnost [94]

Answer: 2.

Step-by-step explanation:

You can find the slope between two points by using the "rise-over-run" method.

This method essentially calculates the slope as the quotient of the vertical span and horizontal span of the two points.

You can find it through this formula:

$s = \frac{y2 - y1}{x2 - x1}$

To find the slope, use two points, (x1, y1) and (x2 and y2).

For the points given, I will replace those values in the formula with (-33, -27) and (-32, -25).

$s = \frac{-27 - (-25)}{-33 - (-32)}\\\\s = \frac{-2}{-1}\\\\s = 2$

The slope of the line is 2.

6 0

2 years ago

Read 2 more answers

Graph each absolute value function. State the domain, range, and y-intercept.

Inessa05 [86]

Answer:

i. D:All real numbers

ii.R: $y\le-2$

iii. Y-int: $b=-2.5$

Step-by-step explanation:

The given function is

$y=-\frac{1}{2} |x-1|-2$

The domain of this function are the values of x that makes the function defined.

The absolute value function is defined for all real values.

The domain is all real numbers.

ii. The range refers to the values of y for which x is defined.

$y=-\frac{1}{2} |x-1|-2$

The vertex of this function is

$(1,-2)$

The function is reflected in the x-axis.

The vertex is therefore the maximum point on the graph of the function.

The range is therefore;

$y\le-2$

Or

$(-\infty,2]$

iii. To find the y-intercept, we substitute $x=0$ into the funtion.

$y=-\frac{1}{2} |0-1|-2$

$y=-\frac{1}{2} (1)-2$

$y=-2.5$

The y-intercept is $b=-2.5$

The graph is shown in the attachment.

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3 years ago

A rectangle hale card has a length of 3/10 and a width of 4/5 find the perimeter

postnew [5]

Answer:

22/10 or 2 and 1/5

Step-by-step explanation:

To find the perimeter, add all sides together. Since it's a rectangle, the other sides are the same measurement as the ones given. Add 3/10, 3/10, 4/5, and 4/5 together. To do this, find a common denominator. The lowest common denominator is 10 so multiply the 4/5 by 2/2 to get the denominator to be 10. Now, add 3/10, 3/10, 8/10, and 8/10. It adds up to 22/10 but if you don't want an improper fraction, simplify it to 2 and 1/5.

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3 years ago

Use the distributive property to expand -4 (-2/5 + 3 x). Which is an equivalent expression?

Brrunno [24]

Answer:

8/5-12x.

Step-by-step explanation:

To distribute, you simply need to multiply each of the terms inside of the parenthesis by -4. This will give you:

=-4( $\frac{-2}{5}$ )-4(3x)

=8/5-12x. This is your answer!

7 0

2 years ago

A pen talking pyramid has a volume of 1536in what is the volume of the pentagonal pyramid if measures are multiplied by 1/4

Natasha2012 [34]

$\bf \textit{volume of a pyramid}\\\\
V=\cfrac{1}{3}Bh\qquad 
\begin{cases}
B=\textit{area of its base}\\
h=height\\
----------\\
B=\frac{1}{4}B\\\\
h=\frac{1}{4}h
\end{cases}\implies V=\cfrac{1}{3}\cdot \cfrac{B}{4}\cdot \cfrac{h}{4}
\\\\\\
V=\cfrac{1}{3}\cdot \cfrac{1}{4\cdot 4}Bh\implies V=\cfrac{1}{16}\left( \cfrac{1}{3}Bh \right)$

so, you'd end up with a pyramid with a volume "one sixteenth" of the original then

now, the original had a volume of 1536, the quarterized version will then just be one sixteenth of that, or 1536 * 1/36

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2 years ago

A line intersects the points (8, 2) and (12, -10). What is the slope of the line in simplest form? m = [?]​

A line intersects the points (8, 2) and (12, -10). What is the slope of the line in simplest form? m = [?]