angles between lines warm up:
DESCRIPTION
Angle of Inclination y xTRANSCRIPT
Angles Between LinesBy the end of the day you should be able to…•Find the angle of inclination of a line•Find the angle between two lines
TS: Explicitly assessing information & drawing conclusions
Warm Up:What was the formula for tan(x – y) again?(You have notes & I have books so you should be able to find it somewhere if it’s not still engrained in the brain.)
Angle of Inclination
x
y
Example:1) Find the angle of inclination for the line 2x – y + 3 = 0
2) Find the equation of the line with a y-intercept of 3 and an angle of inclination of 3π/4
Angle Between Two Lines
x
y
Example:
Find the acute angle formed by the lines 2x + 3y = 4 and x – 4y + 3 = 0
Finding the angles of the triangle
(-1, -5)
(4, 3)
(2, 3)