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atroni [7]
2 years ago
6

Find the equation in slope-intercept form of a line with slope -2 and y-intercept 4.

Mathematics
1 answer:
Sergio039 [100]2 years ago
5 0

Answer:

D. y=-2x+4

Step-by-step explanation:

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Complete the equation of the line through (-9,-9) and (-6,0)
Rudik [331]

For this case we have that by definition, the equation of the line of the slope-intersection form is given by:

y = mx + b

Where:

m: It is the slope of the line

b: It is the cut-off point with the y axis.

According to the data of the statement we have the following points:

(x_ {1}, y_ {1}): (- 9, -9)\\(x_ {2}, y_ {2}): (- 6,0)

We found the slope:

m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}} = \frac {0 - (- 9)} {- 6 - (- 9)} = \frac { 9} {- 6 + 9} = \frac {9} {3} = 3

Thus, the equation is of the form:

y = 3x + b

We substitute one of the points and find b:

0 = 3 (-6) + b\\0 = -18 + b\\b = 18

Finally, the equation is:

y = 3x + 18

Answer:

y = 3x + 18

7 0
3 years ago
5. Write an equation for the linear<br> relationship shown below.
Neporo4naja [7]

Answer:

y=3×-11

Step-by-step explanation:

y=m+c

m=7-1÷6-4

m=6÷2

m=3

y=3+c

7=3(6)+c

7-18=c

-11=c

y=3×-11

6 0
2 years ago
Can someone help me please....
zhannawk [14.2K]

Answer:

B. 350 minutes

Step-by-step explanation:

7 0
2 years ago
Our environment is very sensitive to the amount of ozone in the upper atmosphere. The level of ozone normally found is 7.8 parts
Alexxandr [17]

Answer:

The value of the test statistic is t = 2.67

Step-by-step explanation:

The null hypothesis is:

H_{0} = 7.8

The alternate hypotesis is:

H_{1} \neq 7.8

Our test statistic is:

t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

In which X is the sample mean, \mu is the value tested at the null hypothesis, \sigma is the standard deviation and n is the size of the sample.

In this problem, we have that:

X = 8.2, \mu = 7.8, \sigma = 0.6, n = 16

Then

t = \frac{X - \mu}{\frac{\sigma}{\sqrt{n}}}

t = \frac{8.2 - 7.8}{\frac{0.6}{\sqrt{16}}}

t = 2.67

The value of the test statistic is t = 2.67

5 0
3 years ago
Which graph represents the linar function y=1/3x-4?
spin [16.1K]

Answer:

(0,-4)

Step-by-step explanation:

4 0
2 years ago
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