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Vikki [24]
3 years ago
8

A is the point (-2, 0) and B is the point (0, 4).Find the equation of the straight line joining A and B.

Mathematics
1 answer:
Rus_ich [418]3 years ago
6 0

Answer:

y = 2*x + 4

Step-by-step explanation:

We know that a linear function can be written as:

y = a*x + b

Where a is the slope and b is the y-intercept.

We know that if this line passes through the points (x₁, y₁) and (x₂, y₂) the slope can be written as:

a = (y₂ - y₁)/(x₂ - x₁)

So, here we know that our line must pass through the points (-2,0) and (0, 4)

Then the slope of this line is:

a = (4 - 0)/(0 - (-2))

a = 4/2 = 2

Then our line is something like:

y = 2*x + b

Now, to find the value of b we can use one of these two points, for example if we use the point (-2, 0), we know that, when x = -2, we must have y = 0.

0 = 2*(-2) + b

0 = -4 + b

4 = b

Then the equation for our line is:

y = 2*x + 4

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3 years ago
Find the general solution for the differential equation \displaystyle{\left.{d}{y}\right.}+{9}{x}\ {\left.{d}{x}\right.}={0}dy+9
densk [106]

Answer:

y= CC-4.5x^2

Step-by-step explanation:

To find the general solution to the differential equation

dy + 9x dx = 0, we employ the method of separating variable as follows:

Note: { will represent the integral sign here.

Separating the variables and integrating, we have

{dy  = -{9x dx

y = -(9/2)(x^2) + CC,

where CC is the given constant of integration.

This can be rearranged/simplified to yield

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3 years ago
What is the standard form of x/4 - y/3 =1 and 5/x - 2/y=7.
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3 years ago
A cube has a volume of 64 cubic meters what is the length of each edge
Murljashka [212]

Answer:

The length of each side is 4 m

Step-by-step explanation:

The volume of a cube is given by

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64 = s^3

Take the cube root of each side

64 ^ (1/3) = s^3 ^ (1/3)

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The length of each side is 4 m

7 0
3 years ago
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The coefficient of 2(3)(6)Q is
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Answer:

36Q

Step-by-step explanation:

multiply all together we have 36Q

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