Answer:
The equation of the new line is [tex]y = -2x - 3[/tex]
Step-by-step explanation:
Reflecting a function over the x-axis:
Suppose we have a function y = f(x)
Suppose y' is the function y, reflected over the x-axis. Their relation is:
y' = -y
In this question:
Line with equation [tex]y = 2x + 3[/tex]
Reflection over the x-axis:
We have that:
[tex]y = -(2x + 3) = -2x - 3[/tex]
The equation of the new line is [tex]y = -2x - 3[/tex]
