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german
3 years ago
7

Slope = -1/3 passing through (4,-9) Point- slope form and slope-intercept form

Mathematics
2 answers:
HACTEHA [7]3 years ago
7 0

Answer:

Point Slope Form:  y + 9 = -1/3(x - 3)

Slope-Intercept:  y = -1/3x - 8

Step-by-step explanation:

<u>Point Slope Form:  (y - y1) = m(x - x1)</u>

<u>Slope-intercept Form:  y = mx + b</u>

<u>Step 1:  Use point slope form</u>

(y - (-9)) = -1/3(x - 3)

Answer:  Point Slope Form:  y + 9 = -1/3(x - 3)

Step 2:  Use point slope to get slope intercept

y + 9 = -1/3(x - 3)

y + 9 - 9 = -1/3x + 1 - 9

y = -1/3x - 8

Answer:  Slope-Intercept:  y = -1/3x - 8

AleksandrR [38]3 years ago
6 0

Answer:

-9=-1/3-13 is it in slope intercept form, look up ones to put it in different forms

Step-by-step explanation:

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Scores of an IQ test have a​ bell-shaped distribution with a mean of 100 and a standard deviation of 13. Use the empirical rule
Yuri [45]

Answer:

(a) 68% of people has an IQ score between 87 and 113​.

(b) 5% of people has an IQ score less than 74 or greater than 126.

(c) 0.15% of people has an IQ score greater than 139​.

Step-by-step explanation:

Given information:Scores of an IQ test have a​ bell-shaped distribution,

mean = 100

standard deviation = 13

According to the empirical rule

68% data lies between \overline{x}-\sigma and \overline{x}+\sigma.

95% data lies between \overline{x}-2\sigma and \overline{x}+2\sigma.

99.7% data lies between \overline{x}-3\sigma and \overline{x}+3\sigma.

(a)

\overline{x}-\sigma=100-13=87

\overline{x}+\sigma=100+13=113

[\overline{x}-\sigma,\overline{x}+\sigma]=[87,113]

Using empirical rule we can say that 68% of people has an IQ score between 87 and 113​.

(b)

\overline{x}-2\sigma=100-2(13)=74

\overline{x}+2\sigma=100+2(13)=126

[\overline{x}-2\sigma,\overline{x}+2\sigma]=[74,126]

Using empirical rule we can say that 95% of people has an IQ score between 74 and 126​.

The percentage of people has an IQ score less than 74 or greater than 126 is

P = 1- percent of people has an IQ score between 74 and 126​.

P = 1- 95%

P = 5%

Therefore 5% of people has an IQ score less than 74 or greater than 126.

(c)

\overline{x}-3\sigma=100-3(13)=61

\overline{x}+3\sigma=100+3(13)=139

[\overline{x}-3\sigma,\overline{x}+3\sigma]=[61,139]

Using empirical rule we can say that 99.7% of people has an IQ score between 61 and 139​.

The percentage of people has an IQ score less than 61 or greater than 139 is

P = 1- percent of people has an IQ score between 61 and 139​.

P = 1- 99.7%

P = 0.3%

The percentage of people has an IQ score greater than 139​ is

P=\frac{1}{2}(0.3\%)=0.15\%

Therefore 0.15% of people has an IQ score greater than 139​.

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Answer:

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Step-by-step explanation:

4w+4=-4

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4w=-8

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w=-2

3 0
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