Answer:

Step-by-step explanation:
Hi there!
We want to write the equation of a line parallel to y=
and that passes through the point (4,6)
Parallel lines have the same slopes, but different y intercepts.
The slope of the equation
is
, since the equation is written in y=mx+b format (m is slope and b is y intercept), and
is in the place where m is.
It's also the slope of the line parallel to it.
So we know the slope of the new line, let's write it down:
y=
+b
Let's find b, in order to complete the equation
Since the equation passes through the point (4, 6), we can use it to solve for b.
Substitute 4 as x and 6 as y into the equation:
6=
(4)+b
Multiply
6=-6+b
Add 6 to both sides
12=b
Substitute 12 as b in the equation.
y=
Hope this helps!