Question 1135041
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)
<pre>
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. 


{{{drawing(400,400,-10,10,-10,10, graph(400,400,-10,10,-10,10),
line(-11,7,11,7), locate(7,7,y=7),circle(2,4,.1),circle(2,4,.15),
locate(2,4,"(2,4)") )}}}

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

{{{drawing(400,400,-10,10,-10,10, graph(400,400,-10,10,-10,10),
line(-11,7,11,7), locate(7,7,y=7),circle(2,4,.1),circle(2,4,.15),
locate(2,4,"(2,4)"),green(line(-11,4,11,4)),locate(7,4,y=4) )}}}

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</pre>