View
66
Download
3
Category
Preview:
DESCRIPTION
You can calculate the slope of a line given two points on a x-y grid. y. x. Directions For The Rise and Run. Upward - Positive Rise Downward - Negative Rise Right - Positive Run Left - Negative Run. Example 1. . y x. - PowerPoint PPT Presentation
Citation preview
y
x
Directions For The Rise and Run
Upward - Positive Rise
Downward - Negative Rise
Right - Positive Run
Left - Negative Run
. y
x
Plot points A (2,-1) and B (4, 5).Draw line AB.Determine the rise and run of line AB.
rise = 6
run = 2A
B
Calculate the slope of line AB.
m = rise run
= 6 2
= 3
Therefore the slope of line AB is positive. The slope of line AB is 3.
Since the line slants upwards from left to right, the rise is positive.
Given points A (2, -1) and B (4, 5), calculate the slope of line AB.
Given points Q (-5, 2) and R (5, -4), calculate the slope of line QR.
Plot points Q (-5, 2) and R (5, -4).y
x
R
Q
Draw line QR.Determine the rise and run of line QR.
rise = -6
run = 10
Since the line slants downwards from left to right, the rise is negative.
Calculate the slope of line QR.
m = rise run
= -6 10
= -3 5
Reduce fraction to lowest terms.
Therefore the slope of line QR is negative. The slope of line QR is -3 . 5
1. Given points C (1, 5) and D (4, 3), calculate the slope of line CD.
2. Given points Y (-6, -4) and Z (-2, 2), calculate the slope of line YZ.
3. Given points O (-3, 4) and P (4, 4), calculate the slope of line OP.
4. Given points E (3, -2) and F (3, -5), calculate the slope of line EF.
5. A ramp reaches a door which is 2m above the ground. The ground distance (the base of the ramp) is 5m long. A ramp is considered safe if its slope is less than 0.3. Is the ramp safe?
1. Given points C (1, 5) and D (4, 3), calculate the slope of line CD.
x
y
3
-2
m = rise run
= -2 3
Therefore the slope of line CD is negative. The slope of line CD is -2 . 3
C
D
2. Given points Y (-6, -4) and Z (-2, 2), calculate the slope of line YZ.
x
y
Y
Z
4
6
m = rise run
= 6 4
= 3 2
Therefore the slope of line YZ is positive. The slope of line YZ is 3 . 2
3. Given points O (-3, 4) and P (4, 4), calculate the slope of line OP.
x
y
O Pm = rise run
= 0 7
7
= 0
Therefore the slope of the horizontal line, OP, is zero.
4. Given points E (3, -2) and F (3, -5), calculate the slope of line EF.
x
y
F
E
3
m = rise run
= 3 0
= undefined
Therefore the slope of the vertical line, EF, is undefined since three is not divisible by zero.
A ramp reaches a door which is 2m above the ground. The ground distance (the base of the ramp) is 5m long. A ramp is considered safe if its slope is less than 0.3. Is the ramp safe?
2m
5m
m = rise run
= 2 5
= 0.4
Therefore the slope of the ramp is 0.4. Since the slope of the ramp is greater than 0.3, the ramp is too steep and is not considered safe.
Recommended