Write the equation of the line that is parallel to y=2x+9. and goes through the point (3,1)

First we find the slope of the given line as both the lines are parallel therefore their slopes are equal.

To find slope of given line we compare the equation with point slope form i.e.

On comparing

We get

As the required line is parallel to given line its slope is equal to given line

Required line pass through

Using point slope form

Here

Putting the values and solving

is the required equation

Hope this will help

a reflection over the y-axis.

Step-by-step explanation:

This is a reflection, the two most common reflections are:

Over the y-axis, that transforms a point (x, y) into (-x, y)

over the x-axis, that transforms the point (x, y) into (x, -y)

Here we have the transformation from (-2, 3) to (2, 3)

So the x-component changed of sign, this coincides with a reflection over the y-axis.

So the correct answer is a reflection over the y-axis.