MATHEMATICS HIGH SCHOOL

The point-slope form of the equation of the line that passes through (–4, –3) and (12, 1) is y – 1 = (x – 12). What is the standard form of the equation for this line?x – 4y = 8
x – 4y = 2
4x – y = 8
4x – y = 2

Answers

Answer 1
Answer:

Answer:

Option  A is correct.

x – 4y = 8

Step-by-step explanation:

Using point slope form:

The equation of line is given by:

y-y_1 = m(x-x_1)                  ....[1]

where, m is the slope.

As per the statement:

The point passes through the line are:

(-4, -3) and (12, 1)

Using Slope(m) formula:

m = (y_2-y_1)/(x_2-x_1)

Substitute the given values we have;

m = (1+3)/(12+4)=(4)/(16)=(1)/(4)

Substitute the value of m and (12, 1) in [1] we have;

y-1 = (1)/(4)(x-12)

Multiply both sides by 4 we have;

4y-4 = x-12

Add 4 to both sides we have;

4y= x-8

⇒-x+4y = -8

Multiply both sides by -1 we have;

⇒x-4y =8

Therefore, the standard form of the equation for this line is, x – 4y = 8
Answer 2
Answer: (-4,-3)(12,1)
slope(m) = (1 - (-3) / (12 - (-4)
slope(m) = (1 + 3) / (12 + 4)
slope(m) = 4/16 = 1/4

y - y1 = m(x - x1)...using (12,1)
y - 1 = 1/4(x - 12)
y - 1 = 1/4x - 3
y = 1/4x - 3 + 1
y = 1/4x - 2
-1/4x + y = -2...multiply by -4
x - 4y = 8 <=== here it is

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Answers

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Answers

It's a perfect cube.

Will give correct answer the brainliest !!!

Answers

Answer:

1. 3 2/3

2. 4 9/10

3. 1 27/56

4. 58 2/15

5. 11 1/24

Step-by-step explanation:

1. To find the answer, add 3 1/6 and 5 9/10. First change them into improper fractions. 5 9/10 is 59/10 and 3 1/6 is 19/6. Now, you have to make the denominator (bottom number) the same number for both fractions. To do this you must find a LCM for both the number (10, 6) a LCM for these numbers is 30. Now to change the denominator to this you must times the numerator and denominator by the number needed to get the LCM for the denominator.

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Now again, you have to make the denominator to 30

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3 23/30

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Answers

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Answers

The answer is the second option. Download the pdf file attached and tell me if the explanation is clear for you.

Answer:

it's option A

Step-by-step explanation:

Just did it on edge

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Answers

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