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Given that the points (12, –4) and (–36, 8) lie on a line, what is the equation of the line?

Alinara [238K]

The equation of the line passing through the points (12, –4) and (–36, 8) is y = -1/2 x - 1

The formula for calculating the equation of a line is expressed as:

y = mx + b

m is the slope of the line

b is the y-intercept

Given the coordinate points expressed as (12, –4) and (–36, 8)

Get the slope:

m = 8+4/-36-12

m = 12/-48

m = -1/4

Get the y-intercept "b"

Recall that y = mx + b

8 = -1/4(-36) + b

8 = 9 + b

b = 8 - 9

b = -1

Get the required equation.

Recall that y = mx + b

y = -1/2 x + (-1)

y = -1/2 x - 1

Hence the equation of the line passing through the points (12, –4) and (–36, 8) is y = -1/2 x - 1

Learn more here: brainly.com/question/17003809

3 0

3 years ago

Find the midpoint between points F(-5, -18) and K(15,8).

Nataliya [291]

Answer:

(5,-5)

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

134 A financial analyst believes that if interest rates decrease in a given period then the

lawyer [7]

The probability that the market will go up and interest rate will go down during the period in question is 0.03.

<h3>What is the probability?</h3>

Probability determines the chances that an event would happen. The probability the event occurs is 1 and the probability that the event does not occur is 0.

The probability that the market will go up and interest rate will go down = 0.08 X 0.40 = 0.03

To learn more about probability, please check: brainly.com/question/13234031

#SPJ1

5 0

2 years ago

List seven guidelines that will help you plan a working budget.

Klio2033 [76]

Answer:

- set a realistic goal .

- identify your income n expenses .

- Separate Needs and wants .

- Design your budget .

- Put your plan into action .

- Seasonal Expenses .

- Look Ahead

explanation:

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7 0

4 years ago

What is the relationship between the conversion factors used in Part A of Model 2? Whatabout the conversion factors used in Part

Lelu [443]

Given:

The conversions from meter to inches and inches to meter are shown in part A of model 2.

The conversions from liters to quarts and quarts to liters are shown in part B of model 2.

Required:

To find the relationship between the conversion factors used in Part A of Model 2.

To find the relationship in the the conversion factors used in Part B of Model 2.

Explanation:

We have given that 1 meter = 39.4 inches.

Thus, from the calculations shown in part A of model 2, we can conclude that the quantity from meters to inches is converted as:

$1.5\times39.4=59$

Thus, 1.5 m =59 inches.

Also, the quantity from inches to meters is converted as:

$\frac{59}{39.4}=1.5$

Hence, 59 in = 1.5 m.

Next,

We have 1 L = 1.06 qt.

Thus, from the calculations shown in part B of model 2, we can conclude that the quantity from quarts to liters is converted as:

$\frac{186}{1.06}=175$

Thus, 186 quarts = 175 L.

Also, the quantity from liters to quarts is converted as:

$175\times1.06=186$

Hence, 175 L = 186 qt.

Final Answer:

We conclude that:

While converting from meters to inches, we multiply the quantity 1.5 by the equality quantity given.

While converting from incehs to meters, we divide the quantity 59 by the equality quantity given.

Also, While converting from quarts to liters, we divide the quntity 186 by the equality quantity given.

While converting from liters to quarts, we multiply the quntity 175 by the equality quantity given.

6 0

1 year ago