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natali 33 [55]
3 years ago
10

What is the slope of the line containing (-3, 5) and (6, -1)?

Mathematics
2 answers:
ankoles [38]3 years ago
4 0
We can find the slope by using the formula y2-y1/x2-x1. y2 and x2 are our second y and x coordinates, meanwhile y1 and x1 are our first y and x coordinates. If we plug in our numbers, we get -1-5/6-(-3). This gives us -1-5/6+3. -1-5/6+3 is -6/9. -6/9 is equal to -2/3. The answer is B.
mario62 [17]3 years ago
3 0

Answer:

-2/3

Step-by-step explanation:

The slope of a line can be represented as \frac{y_{2} -y_{1} }{x_{2}- x_{1} } where (x1, y1) and (x2, y2) are points on the line. We can substitute the points given, (-3, 5) and (6, -1), to calculate the slope:

\frac{-1-5}{6-(-3)} =\frac{-6}{6+3} =\frac{-6}{9} =-\frac{2}{3}

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3 years ago
an angle measures 24° less than the measure if a supplementary angle . what is the measure of each angle​
vagabundo [1.1K]

Hey there!

If two angles are supplementary, that means that the measures of the two angles have a sum of 180.

If the two angles were of equal measure, they would both be 90 degrees.

The easiest way to get this would be to subtract 12 degrees from one 90 degree angle and add them to the other 90 degree angle so one angle has 24 more degrees then the other.

90 - 12 = 78

90 + 12 = 102

Let's check to make sure this works.

102 + 78 = 180 That checks out.

102 - 24 = 78 That also works.

So, the measures of the angles are 102 and 78.

Hope this helps!

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The table below represents a linear function f(x) and the equation represents a function g(x):
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Part A: The slope of f(x) is three times as great as the slope of g(x).

Part B: The y-intercept of g(x) is 12 larger than the y-intercept of f(x).

In order to find these two answers, you need to find a model for f(x). You can do that by first finding the slope. The formula is below.

slope (m) = (y2 - y1)/(x2 - x1)

In this equation (x1, y1) is the first point and (x2, y2) is a second point. For this purpose, we'll pick (1, 0) and (0, -6)

slope (m) = (-6 - 0)/(0 - 1)

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Now we know that the slope is 6, which is 3 times as great as the first slope. Now to find the y-intercept, we can use either point and the slope in slope intercept form.

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Now, we need to divide that result (n+3) by 8.

So, we would get (n+3) divided by 8 = \frac{n+3}{8}.

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