IF YOU ANSWER FIRST ILL GIVE What is the equation of the line that is parallel to 6x – 2y = 4 + 6y and passes through the point (8, –16)?

A. y=−43x−16/3
B. y=−3/4x−16
C. y=3/4x−22
D. y=4/3x−64/3

y=

4

3

x−22

Step-by-step explanation:

We are given;

The equation of a line 6x-2y=4+6y

A point (8, -16)

We are required to determine the equation of a line parallel to the given line and passing through the given point.

One way we can determine the equation of a line is when we are given its slope and a point where it is passing through,

First we get the slope of the line from the equation given;

We write the equation in the form y = mx + c, where m is the slope

That is;

6x-2y=4+6y

6y + 2y = 6x-4

8y = 6x -4

We get, y = 3/4 x - 4

Therefore, the slope, m₁ = 3/4

But; for parallel lines m₁=m₂

Therefore, the slope of the line in question, m₂ = 3/4

To get the equation of the line;

We take a point (x, y) and the point (8, -16) together with the slope;

That is;

\frac{(y--16}{x-8}=\frac{3}{4}

x−8

(y−−16

=

4

3

\begin{gathered}4(y+16)=3(x-8)\\4y + 64 = 3x - 24\\4y=3x-88\\ y=\frac{3}{4}x-22\end{gathered}

4(y+16)=3(x−8)

4y+64=3x−24

4y=3x−88

y=

4

3

x−22

Thus, the equation required is y=\frac{3}{4}x-22y=

4

3

x−22

C

Step-by-step explanation:

We are given;

The equation of a line 6x-2y=4+6y

A point (8, -16)

We are required to determine the equation of a line parallel to the given line and passing through the given point.

One way we can determine the equation of a line is when we are given its slope and a point where it is passing through,

First we get the slope of the line from the equation given;

We write the equation in the form y = mx + c, where m is the slope

That is;

6x-2y=4+6y

6y + 2y = 6x-4

8y = 6x -4

We get, y = 3/4 x - 4

Therefore, the slope, m₁ = 3/4

But; for parallel lines m₁=m₂

Therefore, the slope of the line in question, m₂ = 3/4

To get the equation of the line;

We take a point (x, y) and the point (8, -16) together with the slope;

That is;

answer: a) (0,0), (1,1), (2,8), and (3,27).

step-by-step explanation:

0^3=0

1^3=1

2^3=8

3^3=27

in effect, the exponential equation for this would me y=3^x. each x-coordinate cubed is giving the y coordinate, so a is your answer : )

when rotating a figure 180 degrees, imagine that you are able to take the figure and turn it clockwise or counterclockwise around a center point. to rotate a figure 180 degrees, you will need to apply the rule (x, y) → (-x, -y). start by using a coordinate grid with coordinates for each vertex of the figure. the center point of the coordinate grid is located at (0, 0), which is what you will rotate the figure around. write down the original coordinates of the shape you are going to rotate. then, apply the rule. for example, coordinate (1, 2) becomes (-1, -2). another example would be, coordinate (-4, -2) becoming (4, 2). after you change each original coordinate to the rotated coordinate, you will draw your new figure.

step-by-step explanation: