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Nataly [62]
3 years ago
6

Write the equation of a line through the points (−7,14) and (−21,28) in slope-intercept form

Mathematics
1 answer:
Harlamova29_29 [7]3 years ago
8 0

Answer: y= -x + 7

Solution:

Step 1 : find the slope using the equation using the pair of coordinates that are given i.e A (−7,14)  B (−21,28) ( name them A and B respectively so they can be easily named as x1, y1 and x2,y2 respectively)

m = y2-y1/x2-x1

m = 28-14 / -21 -( -7)

m =  14 / -14

m = -1

Step 2 : Find the y intercept using the line of equation (use and one of the given coordinates either A or B)

Using A ( -7, 14)

y= mx+ b

14 = (-1)(-7) + b

14= 7 + b

14-7 = b

7 =b

So,

y=mx+b

Insert m and b

y= -x + 7





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Step-by-step explanation:

Add it up to together by removing the -

8 0
2 years ago
3. Janet is flying a kite on a string that is 75m long. The kite is 62m above the ground. Estimate the distance between Janet an
konstantin123 [22]
Answer: a) It will be a right triangle with a hypotenuse of 75 and a vertical leg that is 62. 
b) The length of the kite string is 75 (given in the problem). However, I believe you are looking for the distance from the spot on the ground beneath the kite to Janet. That is about 42.2 m.

To find the missing distance in the right triangle. You have to use the Pythagorean Theorem.  I set it up and solve it below.

a^2 + b^2 = c^2
x^2 + 62^2 = 75^2
x^2 + 3844 = 5625
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3 0
3 years ago
The price of a television was reduced from 250 to 200 .by what percentage was the price of the television reduced
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20 percent.

Step-by-step explanation:

3 0
3 years ago
Compare the equation, y = 9x - 4x2, the graph below, and the table below. Which has the steepest rate of change from x = 1 to x
jeka57 [31]
The correct answer to this question is  C. equation, –3

The equation is 
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y = -x(4x - 9)

The steepest rate of change from x = 1 to x =2

x = -1 ; y = 0
x = 1 ; y = 2
x = 2 ; y = 0
x  =3 ; y = -4

So, based from the table show, the steepest rate of change is <span>C. equation, –3</span>
4 0
3 years ago
Professor Vinculum investigated the migration season of the Bulbul bird from their natural wetlands to a warmer climate. He foun
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The population of the Bulbul birds at the start of the migration season is 1800.

<h3>Exponential function</h3>

An exponential function is given by:

y = abˣ

Let y, x are variables, a is the initial value and b is the multiplication factor.

Let P be the population of the bird t days since the start of the migration season.

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The population of the Bulbul birds at the start of the migration season is 1800.

Find out more on Exponential function at: brainly.com/question/12940982

8 0
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