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liq [111]
3 years ago
12

InWrite the equation of the line that passes through (7, - 4) and (- 1, 2) slope- intercept form.

Mathematics
1 answer:
blondinia [14]3 years ago
5 0

Answer:

General Equation of a Line

General Equation \\(y - y_{1} )= m (x-x_{1}) \\Slope=m= \frac{x_{2}-x_{1} }{y_{2}-y_{1} } \\\\Given:\\p_{1}=(7,-4)\\p_{2}=(-1,2)\\Solution:\\m=(\frac{-1-7}{2-(-4)}) =\frac{-8}{6}\\y-(-4) = (\frac{-8}{6} )(x-7)\\y+4=\frac{-8x}{6} + 56\\y=\frac{-8x}{6} + 52 \\\\The\\  equation \\ is \\ y=\frac{-8x}{6} + 52

Step-by-step explanation:

Find the slope first and then place the values on the general formula. The final step is to solve for y

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Answers:

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====================================================

Explanation:

Instead of having one die, let's say we have two dice. I'll make one red and the other blue.

I'll be using the dice chart shown below. The red and blue values add up to the black numbers inside the table. For instance, we have 1+1 = 2 in the upper left corner. There are 6*6 = 36 sums total.

Using that table, we can see the following:

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In total, we have 6+5+4+3+2+1 = 21 instances where the two dice add to something larger than 6.

This is out of 36 ways to roll two dice.

Therefore P(A) = 21/36 = (3*7)/(3*12) = 7/12

-----------------------------------

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The multiples of 4 found in the table are: 4, 8, 12

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Step-by-step explanation:

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