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Stolb23 [73]
3 years ago
7

Find the equation of the line in slope-intercept form containing the points (6, -1) and (-3, 2).

Mathematics
1 answer:
egoroff_w [7]3 years ago
5 0
Slope intercepf is y=mx+b wherem=slope and b= y intercept
slope is found by doing
(y1-y2)/(x1-x2)
points are (6,-1) and (-3,2)
(x,y)
x1=6
y1=-1
x2=-3
y2=2
subsitute
(-1-2)/(6-(-2))=-3/(6+2)=-3/8
slope=-3/8
subsitute
y=-3/8x+b
subsitute and solve for b
(-3,2)
x=-3
y=2
2=-3/8(-3)+b
2=9/8+b
2=16/8
subtract 9/8 from both sides
16/8-9/8=b
7/8=b
y=-3/9x+7/8 is the equation
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Answer:

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Step-by-step explanation:

Probability = \frac{Desired outcome}{Total possible outcomes}

We are given 12 total number of cans; 4 cans have been accidentally filled with diet soda.

Probability that first can is a regular soda:

Outcome that first can is a regular soda will give us the number of regular soda available which are 4

Using formula of probability

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P(1st can) =  \frac{4}{12} = \frac{1}{3}

Probability that 2nd can is a regular soda:

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Total possible outcomes are, n(total) = 11

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Probability that both cans are regular soda:

P(both) = P(1st can) × P(2nd can)

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