All categories

2 years ago

Determine the equation of the line that is parallel to y=5x+4 and that passes through (8,-2)

Mathematics

2 answers:

SpyIntel [72]2 years ago

6 0

Answer:

The equation of line parallel to y = 5x + 4 is

y = 5x - 42

Step-by-step explanation:

The two parallel lines have equal slope.

The given equation of a line is y = 5x + 4

Here slope m = 5

The line parallel to this line have same slope.

The equation of new line is, y = 5x + c

Where c is a constant

To find the equation of line

y = 5x + c ------(1)

This line passes through (8,-2)

Substitute value of x and y in equation (1) we get

-2 = (5*8) + c

-2 = 40 + c

c = -42

Therefore the equation of line parallel to y = 5x + 4 is

y = 5x - 42

torisob [31]2 years ago

4 0

Answer:

The equation of the line in slope intercept form is; y = 5x-42

Step-by-step explanation:

Parallel lines have identical or equal slopes. This implies that the form of the equation of the line will be;

y=5x+c

Since this line passes through (8,-2), we determine the value c by substituting x with 8 and y with -2. We solve the equation;

-2 =5(8)+c to obtain c = -42

The equation of the line in slope-intercept form is thus y = 5x-42

You might be interested in

Which term is the constant in the following equation 17x+5=-3x? *

evablogger [386]

Answer:

5 is the constant. A constant is a number that does not change throughout the equation.

Step-by-step explanation:

Step 1:

17x + 5 = - 3x Equation

Step 2:

17x = - 3x - 5 Subtract 5 on both sides

Step 3:

20x = - 5 Add 3x on both sides

Step 4:

- 5 ÷ 20 Divide

Answer: ( To Equation )

- 1/4

Hope This Helps :)

6 0

3 years ago

"is it appropriate to use the normal approximation for the sampling distribution of"

Katyanochek1 [597]

Answer: Normal approximation can be used for discrete sampling distributions, such as Binomial distribution and Poisson distribution if certain conditions are met.

Step-by-step explanation: We will give conditions under which the Binomial and Poisson distribitions, which are discrete, can be approximated by the Normal distribution. This procedure is called normal approximation.

1. Binomial distribution: Let the sampling distribution be the binomial distribution $B(n,p)$ , where $n$ is the number of trials and $p$ is the probability of success. It can be approximated by the Normal distribution with the mean of $np$ and the variance of $np(1-p)$ , denoted by $N(np,np(1-p))$ if the following condition is met:

$n>9\left(\frac{1-p}{p}\right)\text{ and } n>9\left(\frac{p}{1-p}\right)$

2. Poisson distribution: Let the sampling distribution be the Poisson distribution $P(\lambda)$ where $\lambda$ is its mean. It can be approximated by the Normal distribution with the mean $\lambda$ and the variance $\lambda$ , denoted by $N(\lambda,\lambda)$ when $\lambda$ is large enough, say $\lambda>1000$ (however, different sources may give different lower value for $\lambda$ but the greater it is, the better the approximation).