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Nastasia [14]
2 years ago
15

What is the equation of the line that goes through the points (4,-1) and (2,3)?

Mathematics
1 answer:
Arturiano [62]2 years ago
5 0

Answer:

<u>y = -2x + 7</u>

Explanation:

<em><u>y = mx + b</u></em>

<em><u /></em>

<em>m = slope</em>

<em>b = y-intercept</em>

<em>y = a given y coordinate</em>

<em>x = a corresponding x coordinate</em>

<em />

First, we need to find the slope (m).

1) (4, -1)

2) (2/3)

m = slope = \frac{y_2-y_1}{x_2-x_1} = \frac{3-(-1)}{2-4} = \frac{4}{-2} = -2

plug in the values to the equation <u>y = mx + b</u>

<u />

-1 = -2(4) + b

-1 = -8 + b

7 = b

now, we can substitute in m and b into the equation y = mx + b

<u><em>y = -2x + 7</em></u>

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Find the slope of the line going through the point (0,3) and (0,4)
telo118 [61]

Answer:

undefined

Step-by-step explanation:

To find the slope of the line between two points, use the slope formula \frac{y_2-y_1}{x_2-x_1}. x_1 and y_1 represent the x and y values of one point the line passes through, and x_2 and y_2 represent the x and y values of another point the line also passes through. Therefore, use the x and y values of the points (0,3) and (0,4) to find the slope. Substitute them into the formula in the right order:

\frac{(4)-(3)}{(0)-(0)} \\= \frac{4-3}{0-0}\\=\frac{1}{0}

However, we can't divide 1 by 0. Therefore, the slope is undefined. (You could also graph the points to see that they form a vertical line, and all vertical lines have an undefined slope.)

5 0
2 years ago
Read 2 more answers
Translate the point (5,2)—&gt; 3 units to the left
VladimirAG [237]

Given:

The point (5,-2) is translated 3 units to the left.

To find:

The new location of the point.

Solution:

If a point is translated 3 units to the left, then

(x,y)\to (x-3,y)

Using this rule of translation, we get

(5,-2)\to (5-3,-2)

(5,-2)\to (2,-2)

Therefore, the new location of the point is (2,-2). Hence, the correct option is C.

7 0
2 years ago
How many passwords of 5 characters (numbers or letters) can be created if repeats are allowed
alex41 [277]

Answer:

at least 290,000

Step-by-step explanation:

Why is this a question

4 0
3 years ago
Hasan deposits $150 in a savings account that earns simple interest at an annual rate of 3%. He makes no other deposits or withd
Kazeer [188]

Answer:

$172.5 hope this helps

Step-by-step explanation:

7 0
2 years ago
sample of 150 Publix cashiers showed a mean hourly wage of $ 8.00, with a standard deviation of $ 1. Give an interval that is li
Scorpion4ik [409]

Answer:

B. (6, 10)

Step-by-step explanation:

The Empirical Rule states that, for a normally distributed random variable:

68% of the measures are within 1 standard deviation of the mean.

95% of the measures are within 2 standard deviation of the mean.

99.7% of the measures are within 3 standard deviations of the mean.

In this problem, we have that:

Mean = 8

Standard deviation = 1

Give an interval that is likely to contain about 95% of the sampled cashiers' hourly wages.

By the Empirical Rule, 95% of the sampled cashiers' hourly wages will be within 2 standard deviations of the mean, so from 2 standard deviations below the mean to two standard deviations above the mean

Two standard deviations below the mean:

8 - 2*1 = 6

Two standard deviations above the mean

8 + 2*1 = 10

So the correct answer is:

B. (6, 10)

4 0
3 years ago
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