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3 years ago

Write the equation of the line that passes through the points (-7,-9) and (-3,-1)

Mathematics

2 answers:

zysi [14]3 years ago

3 0

Answer:

2x + 5

Step-by-step explanation:

I am assuming you are talking about a linear function. If it is, then the equation would be:

2x + 5.

Hope this helps!

Dahasolnce [82]3 years ago

3 0

Answer:

$y = 2x + 5$

Step-by-step explanation:

For this example, I used the slope-intercept form, $y = mx + b$ , where m represents the slope and b represents the y-intercept.

In order to find the equation, we must find the slope and y-intercept.

<h3>Finding m</h3>

The slope can be found with the formula:

$m = \frac{y_{2} - y_{1}}{x_{2} - x_{1}}$ , where the x and y variables represent different x and y values from the given points.

Substituting in values from the points, we get:

$m = \frac{-1 + 9}{-3 + 7}\\\\m = \frac{8}{4}\\\\m = 2$

<h3>Finding b</h3>

In order to find the y-intercept, we must substitute the slope back into the original equation:

$y = 2x + b$

After this, we must also substitute either of the two points. Both will give the correct answer, but (-3, -1) will be used for this example.

$-1 = 2(-3) + b\\-1 = -6 + b\\5 = b$

<h3>Finding the equation</h3>

After this, all that must be done is to substitute the values for b and m back into the original equation.

$y = 2x + 5$

To check our work, we can substitute in either of the given points. For demonstration purposes, (-7, -9) will be used.

$(-9) = 2(-7) + 5\\-9 = -14 + 5\\-9 = -9$

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One way to convert from inches to centimeters is to multiply the number of inches by 2.54, How many centimeters are there in ⅕ i

erica [24]

Answer:

0.508 cm

Step-by-step explanation:

Your problem statement tells you that you can find the number of centimeters by multiplying 1/5 inch by 2.54 cm/in:

1/5 × 2.54 = 0.508

1/5 inch is 0.508 centimeters

5 0

2 years ago

Read 2 more answers

At a large Midwestern university, a simple random sample of 100 entering freshmen in 1993 found that 20 of the sampled freshmen

guajiro [1.7K]

Answer:

The 90% confidence interval for the difference of proportions is (0.01775,0.18225).

Step-by-step explanation:

Before building the confidence interval, we need to understand the central limit theorem and subtraction of normal variables.

Central Limit Theorem

The Central Limit Theorem establishes that, for a normally distributed random variable X, with mean $\mu$ and standard deviation $\sigma$ , the sampling distribution of the sample means with size n can be approximated to a normal distribution with mean $\mu$ and standard deviation $s = \frac{\sigma}{\sqrt{n}}$ .

For a skewed variable, the Central Limit Theorem can also be applied, as long as n is at least 30.

For a proportion p in a sample of size n, the sampling distribution of the sample proportion will be approximately normal with mean $\mu = p$ and standard deviation $s = \sqrt{\frac{p(1-p)}{n}}$

Subtraction between normal variables:

When two normal variables are subtracted, the mean is the difference of the means, while the standard deviation is the square root of the sum of the variances.

p1 -> 1993

20 out of 100, so:

$p_1 = \frac{20}{100} = 0.2$

$s_1 = \sqrt{\frac{0.2*0.8}{100}} = 0.04$

p2 -> 1997

10 out of 100, so:

$p_2 = \frac{10}{100} = 0.1$

$s_2 = \sqrt{\frac{0.1*0.9}{100}} = 0.03$

Distribution of p1 – p2:

$p = p_1 - p_2 = 0.2 - 0.1 = 0.1$

$s = \sqrt{s_1^2+s_2^2} = \sqrt{0.04^2 + 0.03^2} = 0.05$

Confidence interval:

$p \pm zs$

In which

z is the z-score that has a p-value of $1 - \frac{\alpha}{2}$ .

90% confidence level

So $\alpha = 0.1$ , z is the value of Z that has a p-value of $1 - \frac{0.1}{2} = 0.95$ , so $Z = 1.645$ .

The lower bound of the interval is:

$p - zs = 0.1 - 1.645*0.05 = 0.01775
$

The upper bound of the interval is:

$p + zs = 0.1 + 1.645*0.05 = 0.18225
$

The 90% confidence interval for the difference of proportions is (0.01775,0.18225).

6 0

3 years ago

Need help immediately

Tanzania [10]

Answer:

52,5°

Step-by-step explanation:

0,5 × (135 - 30)

= 0,5 × (105)

= 52,5°

7 0

3 years ago

What’s the perimeter of this rectangle 2,5+D and 4-1,3D

koban [17]

Answer:

The result can be shown in multiple forms.

Exact Form:

2,5+D,4-1,3D

Decimal form;

2,5+D,3,3D

Step-by-step explanation:

To find the perimeter of a rectangle, add the lengths of the rectangle's four sides. If you have only the width and the height, then you can easily find all four sides (two sides are each equal to the height and the other two sides are equal to the width). Multiply both the height and width by two and add the results.

6 0

3 years ago

A(3,4) and B(-3,2) are pointd on a coordinate plane. find the coordinate of a points C on the x axis such that AC=BC

mr Goodwill [35]

Answer:

Step-by-step explanation:

Here's the game plan. In order to find a point on the x-axis that makes AC = BC, we need to find the midpoint of AB and the slope of AB. From there, we can find the equation of the line that is perpendicular to AB so we can then fit a 0 in for y and solve for x. This final coordinate will be the answer you're looking for. First and foremost, the midpoint of AB:

and

Now for the slope of AB:

and

So if the slope of AB is 1/3, then the slope of a line perpendicular to that line is -3. What we are finding now is the equation of the line perpendicular to AB and going through (0, 3):

and filling in:

y - 3 = -3(x - 0) and

y - 3 = -3x + 0 and

y - 3 = -3x so

y = -3x + 3. Filling in a 0 for y will give us the coordinate we want for the x-intercept (the point where this line goes through the x-axis):

0 = -3x + 3 and

-3 = -3x so

x = 1

The coordinate on the x-axis such that AC = BC is (1, 0)

7 0

3 years ago