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4 years ago

What is the equation of the line that passes through (5,-2) and (-3,4)

Mathematics

1 answer:

Gennadij [26K]4 years ago

3 0

Answer:

3x + 4y = 7

Step-by-step explanation:

The slope = difference of y values / corresponding difference in x values of the 2 points.

Here it is (4 - (-2) / (-3 - 5)

= 6 /-8 = -3/4.

Now we use the point/slope form of the equation of a line:

y - y1 = m(x - x1) where m = slope and (x1, y1) is a point on the line.

We take the point (5, -2) and m = -3/4:

y - (-2) = -3/4 (x - 5)

y + 2 = -3/4x + 15/4

y = -3/4 x + 15/4 - 8/4

y = -3/4 x + 7/4 This is the equation in slope/intercept form.

To convert it to standard form we multiply through by 4 and rearrange:

4y = -3x + 7

3x + 4y = 7 is standard form.

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lesya692 [45]

Answer:

(x + 16)° = 141°

Step-by-step explanation:

Given figure is of octagon

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3 years ago

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3 years ago

Read 2 more answers

What is the greatest prime you must consider to test whether 575 is prime

GuDViN [60]

Hello from MrBillDoesMath!

Answer: 23

Discussion:

We only need to check primes less that the square root of 576, which is about 23.98. As 23 is a prime number, it is the answer to the question.

Another way of looking at this: the primes less than or equal to 23

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2, 3, 5,7,11,13,17,19,23

The greatest prime in the list is 23

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3 years ago

The weight of a small Starbucks coffee is a normally distributed random variable with a mean of 330 grams and a standard deviati

just olya [345]

Answer:

Weights of at least 340.1 are in the highest 20%.

Step-by-step explanation:

Problems of normally distributed samples are solved using the z-score formula.

In a set with mean $\mu$ and standard deviation $\sigma$ , the zscore of a measure X is given by:

$Z = \frac{X - \mu}{\sigma}$

The Z-score measures how many standard deviations the measure is from the mean. After finding the Z-score, we look at the z-score table and find the p-value associated with this z-score. This p-value is the probability that the value of the measure is smaller than X, that is, the percentile of X. Subtracting 1 by the pvalue, we get the probability that the value of the measure is greater than X.

In this problem, we have that:

$\mu = 330, \sigma = 12$