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y  3 = 6(x + 2) a line through (2,3) with a slope of 6 
y = 2x + 8 a line through (0,8) with a slope of 2 




Periodically in Calculus you must recall the Distance Formula, the midpoint of a segment, and the angle of elevation.
The distance between (3,4) and (5,8) is
or

If
and are
the end points of a line segment, then the midpoint of the line segment is
Let (2,4) and (8,6) be endpoints of a line
segment. To find the midpoint of the segment you can average the
ordered pairs for the endpoints:
(3,5) 
Angle of
Elevation
If a nonvertical line l intersects the xaxis at an angle t and has a slope of m then tan t = m.
The line y = (x + 2) + 2, which is the Taylor form for y = x + 4, has a slope of 1 and intersects the xaxis at , therefore . So the angle of elevation for this line is . 
Check Your Understanding: (Remember
to write down your answers.)
8. Find the distance between (2,6) and (4,8)
9. Find the midpoint of the line segment whose endpoints are (2,6) and (4,8).
10. Find the angle of elevation for the line