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iVinArrow [24]
3 years ago
9

The line passing through the points (-2, 10) and (5, -11)

Mathematics
1 answer:
aliya0001 [1]3 years ago
5 0
<h3>Answer:</h3>

y-intercept = (0, 4)

x-intercept = (3/4, 0)

<h3>Step-by-step explanation:</h3>

1 - Find the slope

slope = m = \frac{rise}{run} = \frac{y_2~-~y_1}{x_2~-~x_1} = \frac {-11-10}{5-(-2)} = \frac {-21}{7} = -3

2 - Plug the slope into y = mx + b and substitute a point into x and y to find the y-intercept, b, by isolating it.

y = mx + b

y = -3x + b

10 = (-3)(-2) + b

10 = 6 + b

-6   -6

4 = b

y-intercept = (0, 4)

3 - Rewrite the completed formula

y = -3x + 4

4 - Substitute 0 in for y to find the x-intercept

0 = -3x + 4

-4          - 4

-4 = -3x

-4/-3 = -3x/-3

 4/3 = x

x-intercept = (4/3, 0)

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a) If this trend continues, how many birds will be left by 2010 will be 525

b) The  birds would there have been in 1990 will be 2475

<h3>What is rate of increase?</h3>

Rate of increase or decrease is defined as the increment or decrement in any quantity over a period of time constantly.

Here we have the data that:

There were 1500 birds in 2000 and they are decreasing at an annual rate of 6.5%.

a) If this trend continues, how many birds will be left by 2010

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So the birds left till 2010 will be:

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b)The birds would there have been in 1990 will be:-

=1500+975=2475

Hence If this trend continues, how many birds will be left by 2010 will be 525.The  birds would there have been in 1990 will be 2475

To know more about Rate of increase follow

brainly.com/question/11360390

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