Question

The line with equation y = 2x + 3 is reflected in the x-axis.

Which of the following is the equation of the new line?
y=2x-3, Y=-2x+3, x=2y+3, y=-2x-3

Answer 1

Answer:

The 180 degree line is most often called the axis. Basically you draw an invisible line between two points of interest, could be two people, or somebody walking towards something, somebody looking at something. Then pull up and look straight down at the scene

Answer 2

Final Answer:

The equation of the new line formed by reflecting the line having the equation $y=2x+3$  in the x-axis, is . The only correct option is the fourth one.

Given:

The line having the equation $y=2x+3$ is reflected in the x-axis.

To Find:

The equation of the new line formed by reflecting the line having the equation $y=2x+3$  in the x-axis, and the corresponding correct option among the given ones.

Explanation:

In a graph, when we reflect any point (x,y) in the x-axis, it will change to the reflected new point (x,−y).

1. It denotes that the x-value of the newly formed coordinate is the same as before reflection and needs no change in sign.
2. Only, the sign of  from negative to positive and vice-versa.

Step 1 of 3

Here, we get that the line with the equation $y=2x+3$ gets reflected in the x-axis. Naturally, the x-value of the new coordinate is kept the same.

Step 2 of 3

Again, the y-value of the new coordinate has the same magnitude but it changes its sign from y to -y in its equation.

Step 3 of 3

The following equation is the refection of the line with the equation $y=2x+3$  in the x-axis.

$-y=2x+3\\y+2x+3=0\\y=-2x-3$

Therefore, the required equation of the new line that is generated by reflecting the line with the equation $y=2x+3$ in the x-axis, $y=-2x-3$. Thus the correct option is the fourth option only, as other options do not fit here.

Know more from the following links.

brainly.in/question/2251170

brainly.in/question/2308836

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