SOLUTION: How do i write an equation in slope-intercept form for the line that is parallel to the given line and that passes through the given point y=7;(2,4)

y=7 is a horizontal line through where y is 7 on the y-axis.

And in general, 

y=[any number] is a horizontal line through where y is [that number] on the
y-axis. 




We want a line parallel to the line whose equation is y=7 through (2,4) so
we draw it (in green):



Now we use the fact that 

y=[any number] is a horizontal line through where y is [that number] on the
y-axis. 

This is a horizontal line through where y is 4 on the y-axis, so its
equation is y=4.

Edwin