1. Slopes of lines

2. Slope is the steepness of a line.
What does the 7% mean? 7%
7% is the slope of the road. It means the road drops 7 feet vertically for every 100 feet horizontally.
7 feet
100 feet
So, what is slope???
Slope is the steepness of a line.

3. Slope can be expressed different ways:
A line has a positive slope if it is going uphill from left to right.
A line has a negative slope if it is
going downhill from left to right.

4. What is the slope of a horizontal line?
The line doesn’t rise!
All horizontal lines have a slope of 0.

5. What is the slope of a vertical line?
The line doesn’t run!
All vertical lines have an undefined slope.

6. Determine the slope of the line.
rise 3 = =
run 6 6 3
Notice the slope is positive AND the line increases!

7. 1) Determine the slope of the line.

8. Find the slope of this line.

9. Find the slope of the line that passes through the points (-2, -2) and (4, 1).
Find the slope of the line that passes through (3, 5) and (-1, 4).

10. The slopes of parallel lines are the same.
The slopes of perpendicular lines are negative reciprocals.
Slope
Slope of // line
Slope of ┻ line
m = 2
m = 3/4
m = -1/2
m = - 5
m = 5/4

11. Determine if the lines JK and LM are // or ┻ or neither
J(-4,11) K(-6,3) L(7,7) M(6,3)
J(-1,5) K(2,-3) L(7,9) M(2,6)
J(6,9) K(4,6) L(0,8) M(3,6)

12. Find the slope of a line perpendicular to the line passing through (5, -2) and (6,4).

13. Determine the value of r, so that a line through these points has the same slope.
(r,2) (-4,-6) slope = 4/5

14. 1. The slope of a line that goes through the points (6,r) and (4, 2) is 4. Find r.
2. Find the value of r.