Unit 4 Section 8 Slope.notebook
Graphing Linear Functions
Unit 4
February 04, 2015
Unit 4 Section 8 Slope.notebook
February 04, 2015
Vocabulary
Slope: The ratio of the change in the y to the change in the x
between any two points on the line.
-the measure of steepness of a line
-the ratio of the vertical change to the horizontal change.
The Slope Formula:
Remember: Slope is fun! It‛s __________ over ____________!
Unit 4 Section 8 Slope.notebook
February 04, 2015
Find the slope of the line.
Positive Slope
Rise =
Run = Negative Slope
Zero Slope
Undefined Slope
Special Slopes: horizontal and vertical lines have special slopes. You can calculate them if you forget but if you know them it will make your life easier!!
The slope of a horizontal line is always = ___________________
The slope of a vertical line is always = _____________________
Unit 4 Section 8 Slope.notebook
February 04, 2015
1.) Find the slope of a hill that rises 25 feet
for every horizontal change of 80 feet.
You can also find the slope by using coordinates of any two points on a line.
Use this formula.
2.) A(1, -3), B(5, 4)
3.) X(4, -3), Y(5, -2)
4.) M(2, 6), N(-1, 6)
5.) F(0, 1.6), G(0.5, 2.1)
6.) H(3.5, 5.25), I(2.5, 6)
y2 ­ y1 m = x ­ x 2
1
Unit 4 Section 8 Slope.notebook
February 04, 2015
When is slope used in real life???
Slope is a measure of steepness.
Building roads one must figure out how steep the road will be
Skiers/snowboarders need to consider the slopes of hills in order to judge the dangers, speeds, etc
When constructing wheelchair ramps, slope is a major consideration
When building stairs, one must consider the slope of them so they are not too steep to walk on
In art, slopes of the lines drawn must be considered to decide what would be the most aesthetically pleasing to the eye Unit 4 Section 8 Slope.notebook
February 04, 2015
7.) The bottom of a ladder is placed 4 feet away from a house and it reaches a
height of 16 feet on the side of the house. What is the slope of the ladder?
8.) In a stairway, the slope of the handrail is the ratio of the riser to the tread.
If the tread is 12 inches long and the riser is 8 inches long, find the slope.
Unit 4 Section 8 Slope.notebook
Find the slope of each line.
February 04, 2015
Unit 4 Section 8 Slope.notebook
February 04, 2015
Through the given point, graph a line with the given slope.
a. (1, 2); slope = ‐3/2
b. (3, 4); slope = 0
c. (‐1, 2); slope = 1/2
c. (2, 3); slope = undefined
Unit 4 Section 8 Slope.notebook
February 04, 2015
Challenge
Find the value of the missing coordinate using the given slope.
1.) (x, 0), (3, 4) m = 2
2.) (­1, y), (1, ­1) m = 3
Find the slope of a line that contains the given points.
3.) (6t, t), (6r, r)
4.) (n + 3, n), (d + 3, d)