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Gemiola [76]
2 years ago
13

Find equation of a line with the given slope that passes through the given point. Write the equation in the form Ax + By = C.

Mathematics
1 answer:
attashe74 [19]2 years ago
3 0

Answer:

5x + y = -28

Step-by-step explanation:

Hi there!

We're given that a line has a slope of -5 and contains the point (-4, -8)

We want to write the equation of this line in standard form

Standard form is given as ax+by=c, where a, b, and c are free integer coefficients, but a and b cannot be zero, and a cannot be negative

Before we write the equation in standard form however, we need to write it in slope-intercept form, which is y=mx+b, where m is the slope & b is the y intercept

As we are already given the slope, we can immediately plug that in for m in y=mx+b

y=-5x+b

Now to find b:

As the equation passes through the point (-4, -8), we can use its values to help solve for b

Substitute -4 as x and -8 as y:

-8 = -5(-4) + b

Multiply

-8 = 20 + b

Subtract 20 from both sides

-8 = 20 + b

-20  -20

__________

-28 = b

substitute -28 as b

y = -5x - 28

We found the equation in slope-intercept form, but remember, we want it in standard form

In standard form, both x and y are on the same side; so, let's move 5x to the other side; to do this, we need to add 5x to both sides

y = -5x - 28

+5x +5x

_________

5x + y = -28

Hope this helps!

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12y + 12 = 36
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answer
y = 2 (first choice)
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3 years ago
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12

Step-by-step explanation:

x/2+4=10

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________

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3 years ago
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How many real solutions will y=x^2 and y=-2x have? what are the solutions?
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Step-by-step explanation:

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The data show the ages of 13 people attending a dinner party. 37, 42, 44, 46, 47, 49, 51, 53, 54, 55, 57, 61, 63 a. Find the min
NemiM [27]

Answer: Median: 50, Minimum Value: 37, Maxium Value: 63, First Quartile: 44, Third Quartile: 57  

Step-by-step explanation:

To find the median we have to line up the number from least to greatest. Since the number is even we have two numbers.

(37, 42, 44, 46, 47, )(49, 51,)(54, 55, 57, 61, 63)

            |                          |                        |

  1st  Quartile        2nd Quartile     3rd Quratile

49 + 51 = 100 ÷ 2 = 50

Median = 50

The minimum value is the least number, therefore 37

The maxium number is the greatest number, therefore 63

The first quartile is the middle number in the first quartile, therefore 44

The third quartile is the middle number in the third quartile, therefore 57

I hope this helps!

6 0
3 years ago
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