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3 years ago

Write the equation of the line that passes through the point (-4, -9) and has a slope of 1/2

Mathematics

2 answers:

zepelin [54]3 years ago

4 0

Answer:

The answer is y=1/2x-7

Step-by-step explanation:

y-y=m(x-x¹)

y-(-9)=1/2(x-(-4)

y+9=1/2x+2

-9 -9

y=1/2x-7

Cerrena [4.2K]3 years ago

3 0

Y = 1/2x + b
Plug in the point :)
-9 = 1/2(-4) + b
-9 = -2 + b
b = -7
Y = 1/2 -7

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3 years ago

5+3×=6+2×what's this

Nutka1998 [239]

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8 0

3 years ago

Find the value of n, correct to 4 significant figures.

Law Incorporation [45]

Answer:

6.708

Step-by-step explanation:

Y varies directly as the square of x (Given)

$\implies y\:\alpha \:x^2$ ......(1)

Y varies inversely as the square root of z (Given)
$\implies y\:\alpha\: \frac{1}{\sqrt z}$ ......(2)

Combining (1) & (2), we find:

$y\:\alpha \:\frac{x^2}{\sqrt z}$

$\implies y=\frac{kx^2}{\sqrt z}$ (Where k is constant of proportionality).....(3)

Now, when y = 2, x = 3 and z = 4, we find the value of k i.e. constant.

$2=\frac{k(3)^2}{\sqrt 4}$

$\implies 2=\frac{k(9)}{2}$

$\implies k =\frac{4}{9}$

Plugging the value of k in (3), we find:

$y=\frac{4x^2}{9\sqrt z}$ ....(4)

Next, in equation (4), plug y = 5, x = n and z = 16 and obtain the value of n by solving it.

$5=\frac{4(n)^2}{9\sqrt {16}}$

$\implies 5=\frac{4(n)^2}{9(4)}$

$\implies 5=\frac{(n)^2}{9}$

$\implies 5(9)=(n)^2$

$\implies 45=(n)^2$

$\implies n=\sqrt{45}$

$\implies n=6.70820393$

$\implies n\approx 6.708$

7 0

2 years ago

I totally need helppppppppp. Oh no im gonna faillllllll.

brilliants [131]

Answer:

19 will be the answer.

Step-by-step explanation:

10+9=19

8 0

3 years ago

Read 2 more answers

Write the equation of the line that passes through the point (-4, -9) and has a slope of 1/2​

Write the equation of the line that passes through the point (-4, -9) and has a slope of 1/2