Slopes
What is the rise (vertical distance) between the points (1,2) and (4,8)?
+6 or -6.
What's the distance between (0,2) and (0,8)?
6
Find the distance between the lines y = 1 and y = 6. Draw a picture of the lines as well.
5
Distance from (2, 7) to y = 3.
4
What is the slope of the line that goes between the points (4,5) and (-2,3)?
2/6 or 1/3
How far is (-8,-4) from (-15,-4)?
7
Find the distance from x = 2 to x = 18. Draw a picture.
16
Distance from (3,-8.5) to y = 11.1
19.6
What is the slope of the line y = (4/3)x - 1
4/3
How far is the origin from the point (41,50)? Round to two dp.
64.66
Find the distance from x = -2 to x = 131
133
Distance from x = 5 to (2,93).
3
What is the slope of a line that goes through the points (3,-2) and (7,-19.5)?
-17.5/4, or -35/8
How far is (-2.3, 4.89) from (-16.2, -1.9)? Round to two dp.
12.94
Find the distance from y = 30 to y = 30.8.
0.8
Distance from x = -21 to (10.5, 0)
31.5
Line L has a y-intercept of -3 and an x-intercept of -2. What is the slope of line M, if M is perpendicular to L? (use a picture to help!)
2/3
(Draw a picture - we'll take 5 minutes on this, and any person/small group who can get it correct gets 5 test points of extra credit.)
Suppose point F is the focus of a parabola whose vertex is at (4,1). Point Q = (10,5.5) is on the parabola. The distance from Q to the directrix is 6.5. What are the coordinates of the Focus, F?
(4,3)
Find the distance from x = 4 to y = -1.
0
Distance from y = 4 to x = -1354.9
0