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4 years ago

How to write an equation of a line in slope intercept form with two points?

Mathematics

2 answers:

bixtya [17]4 years ago

5 0

You could do rise over run

Allisa [31]4 years ago

5 0

The slope-intercept form of the equation of a line is

y = mx + b

1) Use the two points to find the slope.
Subtract the y-coordinates.
Subtract the x-coordinates int eh same order.
Divide the difference in y by the difference in x.
That is the slope, m.

2) Now you need to find b.
Rewrite y = mx + b with your value of m in the equation.
Now use one of the two points and replace x and y with the x- and y-coordinates and solve for b.

3) Finally, rewrite y = mx + b with the values of m and b you found.

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while only 5% of babies have learned to walk by the age of 10 months, 75% are walking by 13 months. if the age at which babies d

7nadin3 [17]

Answer:

$mu=12.1299$

$\sigma=1.2987$

Step-by-step explanation:

In the normal distribution curve, we will have 5% below 10 months [horizontal axis] and 75% below 13 months [horizontal axis].

We need to find z-score using z-table [normal table] that corresponds to

5% = 0.05

and

75% = 0.75

Zscore formula:

$z=\frac{x-\mu}{\sigma}$

Where mu is mean and sigma is standard deviation [these are the 2 parameters we are seeking]

So, 0.05 corresponds to z = -1.64, and

0.75 corresponds to z = 0.67

Now we put both of these into z-score formula and solve both equations for mu and sigma.

$-1.64=\frac{10-\mu}{\sigma}$

and

$0.67=\frac{13-\mu}{\sigma}$

The first equation becomes:

$-1.64=\frac{10-\mu}{\sigma}\\-1.64\sigma+\mu=10\\mu=10+1.64\sigma\\$

Now, simplifying 2nd equation and putting this in:

$0.67=\frac{13-\mu}{\sigma}\\0.67\sigma=13-(10+1.64\sigma)\\0.67\sigma=13-10-1.64\sigma\\2.31\sigma=3\\\sigma=1.2987$

Now finding mu:

$\mu=10+1.64(1.2987)\\\mu=12.1299$

These two MU(mean) and SIGMA(standard deviation) are the 2 parameters.

4 0

3 years ago

1: What is Abby's total spent on transportation?

stealth61 [152]

Answer:

1. Total spent on transportation $222.2.

2. $ 192.5

3. She spends $30 over the guideline.

Step-by-step explanation:

As per the image attached:

Total monthly spent on transportation = Total monthly car payment + Spent on gas fuel

Total monthly spent on transportation = 120 + 37.9 + 28.4 + 35.9 = $222.2

So, Answer 1. Abby's total spent on transportation = $222.2

Calculating the percentage:

$\Rightarrow \dfrac{\text{Spent on transportation}}{\text{Total monthly income}}$

$\Rightarrow \dfrac{222.2}{1750}\times 100 =12.69\%$

Calculating 11% as per the guideline:

$1750 \times \dfrac{11}{100}\\\Rightarrow \$192.5$

Answer 2. As per the guideline, she should spend $192.5 on transportation.

Difference between spending and guideline = $222.2 - $192.5 = $29.7

Answer 3. She spends $29.7 over the guideline.

8 0

3 years ago

Solve the system 3x+y=7 and -2x-y=9 X=7 x=16 x=9 X=1

igomit [66]

Answer:

Step-by-step explanation:

3x + y = 7

-2x - y = 9

x = 16

answer is B

3(16) + y = 7

48 + y = 7

y = -41

3 0

4 years ago

A bakery wants to determine the best placement for day-old goods. What type of data collection source do you think the bakery sh

Shtirlitz [24]

Answer: C. The bakery should conduct an observational study

Step-by-step explanation:

From the question, we are informed that a bakery wants to determine the best placement for day-old goods. The type of data collection source that the bakery should use is an observational study.

An observational study is a form of study whereby the individuals who are to be observed are being studied by the researcher and certain conclusions are derived about them. When the bakery conductd an observational study, the behavior of the customers regarding goods placement can be observed.

3 0

3 years ago

Pls help

Korvikt [17]

C is the answer to this question

5 0

3 years ago

Read 2 more answers