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3 years ago

What is the equation of the line that passes through the point (5, -7) and has a slope of -12

Mathematics

1 answer:

lilavasa [31]3 years ago

3 0

Answer:

y = -12x + 53

Step-by-step explanation:

don't mind this hehgajhakwuzgbsldj

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Equation for ( 6, 13) ( 7900, 5 )

tia_tia [17]

For this case we have that by definition, the equation of the line in the slope-intersection form is given by:

$y=mx+b$

Where:

m: It is the slope of the line

b: It is the cut-off point with the y axis

We have the following points through which the line passes:

$(x_ {1}, y_ {1}) :( 6,13)\\(x_ {2}, y_ {2}): (7900,5)$

We find the slope of the line:

$m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}} = \frac {5-13} {7900-6} = \frac {-8} {7894} = - \frac {4} {3947}$

Thus, the equation of the line is of the form:

$y = - \frac {4} {3947} x + b$

We substitute one of the points and find b:

$13 = - \frac {4} {3947} (6) + b\\13 = - \frac {24} {3947} + b\\13+ \frac {24} {3947} = b\\b = \frac {51335} {3947}$

Finally, the equation is:

$y = - \frac {4} {3947} x + \frac {51335} {3947}$

Answer:

$y = - \frac {4} {3947} x + \frac {51335} {3947}$

5 0

3 years ago

4/6, 7/12, 5/10

Elden [556K]

In order from least to greatest:
5/10 , 7/12 , 4/6
You have to find a common denominator of all 3 numbers which is 60 and then you proceed with the next steps.

7 0

3 years ago

Simplify (6 1/4)^4 a. 6^4 b. 1/6 c. 6^16 d. 6

Margarita [4]

Answer:

Step-by-step explanation:

do u mean into bracket 61/4 raised to the power of 4???

7 0

3 years ago

3.14 times 16 divided by 3

AleksAgata [21]

Answer:

The answer is 16.746667

Step-by-step explanation:

1) Simplify 3.14 × 16 to 50.24.

$50.24 \div 3$

2) Simplify 50.24 ÷ 3 to 16.746667.

$16.746667$

Therefor. the answer is 16.746667.

5 0

2 years ago

1) Which of the following shows the correct steps to find the value of 27 1/3?

sesenic [268]

First of all, we need to know: 3^3 = 3 x 3 x 3 = 9 x 3 = 27

So:

$(27)^{\frac{1}{3}} = (3^3)^{\frac{1}{3}} = (3)^{3\times \frac{1}{3}} = 3^{1} = 3$

So, your answer is D.

4 0

3 years ago

Read 2 more answers