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3 years ago

What is the slope of (8,3) and (-4,-6)?

Mathematics

1 answer:

Nonamiya [84]3 years ago

8 0

Answer: The slope of the line formed by these two points is $\frac{3}{4}$

Step-by-step explanation:

To calculate the slope, we use the formula:

$Slope=\frac{y_2-y_1}{x_2-x_1}$

For the coordinates given:

$x_1=8\\y_1=3\\x_2=-4\\y_2=-6$

Putting values in above equation, we get:

$Slope=\frac{(-6-3)}{(-4-8)}\\\\Slope=\frac{-9}{-12}\\\\Slope=\frac{3}{4}$

Hence, the slope of the line formed from these two coordinates is $\frac{3}{4}$

You might be interested in

A function LaTeX: f\left(x\right)=\sqrt[3]{x}f ( x ) = x 3 is transformed into the function LaTeX: g\left(x\right)=-\sqrt[3]{x}-

shtirl [24]

Answer:

A reflection in the x-axis, and a vertical translation of 8 units down

Step-by-step explanation:

The given function is

$f(x) = \sqrt[3]{x}$

The transformed function is

$g(x) = - \sqrt[3]{x} - 8$

To see the transformation that occurred, we can rewrite g(x) in terms of f(x).

That is:

$g(x) = - f(x) - 8$

Therefore f(x) is reflected in the x-axis and translated 8 units down.

The resulting graph decreases from left to right over its entire domain.

7 0

3 years ago

How do I do this?? Help!

Shkiper50 [21]

Hi there!

In order to use the elimination method, you have to create one variable that has the same coefficient. This is to be able to eliminate one variable and have a one variable equation (which you can then solve).

In your case, we'll have the "x" have the same coefficient by multiplying the top equation by 4 and the bottom equation by 2 :

4( -2x + 3y = -4) → -8x + 12y = -16

2( 4x - 2y = 16) → 8x - 4y = 32

Now that both of your equation have a variable with the same coefficient, you need to choose rather you need to add or subtract the equations in order to get rid of the variable (in this case we want to get rid of the "x").

In your case, you want to add both equation together which will give you :

8y = 16

Now that you only have one variable, all you need to do now is solve the equation for "y" :

8y = 16

Divide each side of the equation by 8

y = 2 → Your answer

There you go! I really hope this helped, if there's anything just let me know! :)

7 0

3 years ago

Read 2 more answers

What is it pls help? multiple choice

MA_775_DIABLO [31]