All categories

3 years ago

How do I write the equation of Through(-2,-3),slope=-2

Mathematics

1 answer:

garri49 [273]3 years ago

7 0

Answer:

y= -2x-7

Step-by-step explanation:

Start with the linear equation formula.

y= mx+b

identify what you already have.

x= -2 and y= -3 m(slope)= -2

we are trying to find b, so plug in what you have.

-3=-2(-2)+b

simplify.

-3= 4+b

subtract 4 on both sides.

-7= b

set up your equation without the x and y value.

y= -2x-7

You might be interested in

Solve by elimination 7x+7y=-7 -10x-7y=28

Zarrin [17]

Answer:

x = - 7, y = 6

Step-by-step explanation:

7x + 7y = - 7 -----> equation 1

- 10x - 7y = 28 -----> equation 2

Add equations 1 & 2,

7x + 7y = - 7

- 10x - 7y = 28

___________

- 3x + 0 = 21

- 3x = 21

x = 21 / - 3

x = - 7

Substitute x = - 7 in equation 1,

7x + 7y = - 7

7y + 7x = - 7

7y + 7 ( - 7 ) = - 7

7y - 49 = - 7

7y = - 7 + 49

7y = 42

y = 42 / 7

y = 6

7 0

2 years ago

Read 2 more answers

If the local linear approximation of f(x) = 2cos x + e^2x at x = 2 is used to find the approximation for f(2.1), then the % erro

yKpoI14uk [10]

Answer-

The % error of this approximation is 1.64%

Solution-

Here,

$\Rightarrow f(x) = 2\cos x + e^{2x}$

$\Rightarrow f'(x) = -2\sin x + 2e^{2x}$

And,

$\Rightarrow f(2) = 2\cos 2 + e^{4}$

$\Rightarrow f'(2) = -2\sin 2 + 2e^{4}$

Taking (2, f(2)) as a point and slope as, f'(2), the function would be,

$\Rightarrow y-y_1=m(x-x_1)$

$\Rightarrow y-(2\cos 2 + e^{4})=(-2\sin 2 + 2e^{4})(x-2)$

$\Rightarrow y=(-2\sin 2 + 2e^{4})(x-2)+(2\cos 2 + e^{4})$

The value of f(2.1) will be

$\Rightarrow y=(-2\sin 2 + 2e^{4})(2.1-2)+(2\cos 2 + e^{4})$

$\Rightarrow y=(-2\sin 2 + 2e^{4})(0.1)+(2\cos 2 + e^{4})$

$\Rightarrow y=64.5946$

According to given function, f(2.1) will be,

$\Rightarrow f(2.1) = 2\cos 2.1 + e^{2(2.1)}$

$\Rightarrow f(2.1) = 65.6766$

$\therefore \%\ error=\dfrac{65.6766-64.5946}{65.6766}=0.0164=1.64\%$

5 0

3 years ago

Starting at sea level, a submarine descended at a constant rate to a depth of − 4/5 mile relative to sea level in 3 minutes.

Jobisdone [24]

If it were 4 then it would be 1 1/3 for one minute

5 0

3 years ago

Read 2 more answers

I need to know to divide fractions.....plz

Kisachek [45]

Answer:

change the division sign to a multiplication sign then flip the second fraction with the bottom on the top and the top on the bottom then multiply if its a improper fraction make it into a whole fraction

Step-by-step explanation:

Q 2/3 ÷ 3/7

1 change the divison sign

x = ÷

2 then the second fraction flip it

2/3÷7/3

3 then multiply the fraction

2/3 ÷ 7/3= 14/9 or 1 5/9

6 0

3 years ago

Which represents a value 1/10 of 0.7?

Nastasia [14]

0.7 can also be written as 7/10. All you need to do is multiply 7/10 by 1/10. You will get 7/100 which is 0.07

3 0

3 years ago

Read 2 more answers