Write the equation in slope intercept form for the line parallel to y equals 2 and with a y intercept of 3?

Start with the equation

y = 2

Put that into slope-intercept form:

y = 0x + 2

Change the y-intercept to 3

y = 0x + 3

or simply

y = 3.

This is a bit of a trick question to see if you understand the terminology. The line y = 2 is parallel to the x-axis, two spaces above it. A line parallel to that would also be parallel to the x-axis, and the intercept of 3 means that it is 3 spaces above the x-axis at the center of the graph. It remains 3 units above the x-axis out to infinity.