I assume the two equations are:
y = 0.25x
y = -4
If so, they do intersect. The first line goes
through (0,0) and (4,1). The second line is a
horizontal line at y = -4. Therefore, the two
lines will intersect at (-16,-4). (Just plug
'y = -4' into the first equation and solve for
'x'.)
When you graph lines, it is easiest if you put
them in 'y = mx + b' form, where the slope is
'm' and the y-intercept is 'b':
y = 0.25x + 0
y = 0x + (-4)
This tells us that the first line goes through
the origin (0,0) because the y-intercept is 0,
and its slope is 0.25 or 1/4. Slope is 'rise'
over 'run', so you take 1 step up, and 4 steps
to the right.
The second line goes through (0,-4) because the
y-intercept is -4, and its slope is 0, which is
a horizontal line.
Let me know if you have any more questions.
lin-chan12 Community Member 
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