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Sedaia [141]
3 years ago
12

Find the slope of the line passing through the points (-1,3) and (4,-7

Mathematics
1 answer:
DanielleElmas [232]3 years ago
4 0

You use the slope formula:

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

m is the slope. Plug in the points.

m = \frac{-7 - 3}{4 - (-1)}

m = \frac{-7 - 3}{4+1}

m = \frac{-10}{5}

m = -2

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A is 1/8 and b is 5/8, hope this helps!
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3 years ago
The number of items (N) that can be purchased for a given amount of money is inversely proportional to the cost (C) of an item.
mars1129 [50]

Answer:

436 items

Step-by-step explanation:

When a quantity A is inversely proportional to another quantity B, we can write:

A=\frac{k}{B}

Where k is the proportionality constant  [that we need to find]

For this problem, we can write the ratio as:

N=\frac{k}{C}

Now given N = 480 and C = 4.90, we first find k:

N=\frac{k}{C}\\480=\frac{k}{4.90}\\k=4.90*480\\k=2352

Now, as second step, we need this time to find N, when

C = 5.40

Note, we know know k = 2352, so we find N:

N=\frac{k}{C}\\N=\frac{2352}{5.40}\\N=435.55

Rounding to next whole number, we have 436 items

5 0
3 years ago
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velikii [3]

Answer:

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3 0
3 years ago
Write the point-slope form of the line passing through (2, -12) and parallel to y=3x.
const2013 [10]

Answer:

y + 12 = 3(x - 2)

Step-by-step explanation:

Insert the coordinates into the formula with their CORRECT signs. Remember, in the Point-Slope Formula, <em>y</em><em> </em><em>-</em><em> </em><em>y</em><em>₁</em><em> </em><em>=</em><em> </em><em>m</em><em>(</em><em>x</em><em> </em><em>-</em><em> </em><em>x</em><em>₁</em><em>)</em><em>,</em><em> </em>all the negative symbols give the OPPOSITE term of what they really are. Since both lines contain have to have similar <em>rate of changes</em> [<em>slopes</em>], we do not go any further.

8 0
3 years ago
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Lubov Fominskaja [6]

Answer:

A

Step-by-step explanation:

d = 1150 km = 1150 km / 1.61 miles = 714.29 miles

r = 55 mph

d / r = time

714.29 / 55 = 12.99 hours.

The closest time to that is 13 hours.

8 0
3 years ago
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