distance from line to point
DESCRIPTION
Slideshow to accompany Lesson 42, Saxon Geometry. Finding the distance from a line to a point not on the line.TRANSCRIPT
Distance from a Point to a Line
Lesson 42
Going Over HW
• Please discuss with your group
how to find the distance from a line
to a point not on the line.
• Is there a process?
• Does graph paper help?
• Does slope play a factor?
• Is there a formula?
Essential Question
• How do I find the distance
between a line and a point not on
the line?
Activator
Use graph paper or a grid board to determine the distance between the point P(3, 6) and:- the line x = 8- the line y = 4- the line y = 2x
L42 Theorems
L42 Theorems
L 42 Demonstration Ex. 1
a. Find the distance from P(6, 4) to the line y = 1.b. Find the distance from P(6, 4) to the line x = 1.c. Find the distance from P(6, 4) to the line y = x.
L 42 Demonstration Ex. 2
Given the equation
y = 2x + 1 and the
point S(3, 2), find:
• the point on the line
that is closest to S
• the shortest distance
from S to the line.
Is there a shortcut? YES!
Watch this video.
L 42 Shortcut Method Ex. 2Given the equation y = 2x + 1 and the point S(3, 2), find the point on the line that is closest to S. Find the shortest distance from S to the line.
Your turn! Shortcut method
Find the distance from point P(7, -3) to the line y = 3/4x - 2.
Partner Practice Problems
p. 277 #15, 16, 23. Please use graph paper. Copy each problem. Show reasoning.
Exit Slip: Quick Quiz
- Find the distance
between the line y = -
4/3x + 2 and the point
(4, 5).