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Kruka [31]
3 years ago
15

Write an equation in the form y = mx + b that represents this line.

Mathematics
1 answer:
kondaur [170]3 years ago
8 0

Answer:

Step-by-step explanation:

The form, y = mx + b is the slope intercept form of a straight line.

Where b = intercept

m = slope = (change in the value of y in the vertical axis) / (change in the value of x in the horizontal axis.

Slope = (y2 - y1)/(x2 - x1)

y2 represents final value of y = - 3

y1 represents initial value of y = 3

x2 represents final value of x = 3

x1 represents initial value of x = 0

Therefore,

slope = (- 3 - 3)/(3 - 0) = - 6/3 = - 2

To determine the intercept, we would substitute m = - 2, x = 3 and y = -3 into y = mx + b. It becomes

- 3 = - 2 × 3 + b = - 6 + b

b = - 3 + 6 = 3

The equation becomes

y = - 3x + 3

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d. population: 6,000 batches of 100 cards sample: every 100th batch.

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In the app you are creating, a duck is going to fly from the coordinates (1, 3) then go 3 units right. And 6 units down. Write a
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Answer:

The rule of the translation is  (x,y) ----> (x+3,y-6)

The coordinates of the duck’s final position are (4,-3)

Step-by-step explanation:

we know that

A duck is going to fly from the coordinates (1, 3) then go 3 units right. And 6 units down

That means -----> The rule of the translation is

3 units right ----> x+3

6 units down ---> y-6

so

(x,y) ----> (x+3,y-6)

To find out the the coordinates of the duck’s final position, apply the rule of the translation to the duck’s original position

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(1,3) ------> (1+3,3-6)

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