160 likes | 250 Views
Welcome Back!. Tuesday. What is the slope of the line -5x – 2y = 22?. Pick up your new packet and find your seat. Silently start your warm-up for Tuesday. IW. Learning Target:. IWBAT write the equation of a perpendicular line in various situations.
E N D
Welcome Back! Tuesday What is the slope of the line -5x – 2y = 22? Pick up your new packet and find your seat. Silently start your warm-up for Tuesday. IW Learning Target: IWBAT write the equation of a perpendicular line in various situations.
Silently work on your Warm Up You have 5 minutes Learning Target: Learning Target: IWBAT write the equation of a perpendicular line in various situations.
Don’t forget to write your Learning Target You have 4 minutes Learning Target: IWBAT demonstrate several ways it is importantto solve for y Learning Target: IWBAT write the equation of a perpendicular line in various situations.
Make Sure You Answer All of the Questions You have 3 minutes Learning Target: IWBAT demonstrate several ways it is importantto solve for y Learning Target: IWBAT write the equation of a perpendicular line in various situations.
Done? Answer the Reflection Question! You have 2 minutes Learning Target: IWBAT demonstrate several ways it is importantto solve for y Learning Target: IWBAT write the equation of a perpendicular line in various situations.
Time’s Almost Up!Make sure you have your name on BOTH sides of your AEM You have 1 minute Learning Target: IWBAT demonstrate several ways it is importantto solve for y Learning Target: IWBAT write the equation of a perpendicular line in various situations.
Warm-Up Review Time!!! Eyes up Front Mouths Closed Ears Listening
Warm Up Check 2. Solve for y 3x + y = 12 What is the slope of the line -5x – 2y = 22? IWBAT demonstrate several ways it is importantto solve for y Learning Target: IWBAT write the equation of a perpendicular line in various situations.
Slopes of Perpendicular Lines Find the slope of each line: Slope (m) of line A: _________ Slope (m) of line B: _________ Slope (m) of line C: _________ A B 3/2 3/2 C -2/3 What do you notice about the slopes of A and B? ________________________________________________________________ The slopes are the same Slopes of ____________ lines are ___________________! parallel the same
What do you notice about the slopes of B and C? __________________________________________________________________ The slopes different; opposite; reverse, upside down; flipped perpendicular Slopes of __________________ lines are _____________________ _____________________!! opposite reciprocals What’s an opposite reciprocal? EXAMPLES: 3 -1/3 sign OPPOSITE – change the ___________ RECIPROCAL - ___________! 7/5 -5/7 flip it _____ AND _____ _____ AND _____
EX 1 • Use the following clues to write an equation for Line A. • Line A has a y-intercept of -1. • Line A is perpendicular to the line • y = 4x + 3 • Equation for Line A: _____________________ y = -1/4x - 1
EX 2 • Line K is perpendicular to the line y = -5x + 4. • Line K contains the point (3,3). 1/5 Slope (m) : ________________ Y-intercept (b) : ____________ Equation of line: _______________________ 2.4 y = 1/5x + 2.4
EX 3 Write the equation of the line that goes through (4, -5) and is perpendicular to the line y = 4x + 4. What is the slope of your new line? -1/4 1 Find the y-intercept (Plug into y = mx + b) 2 Now put it all together…. The equation of the line is: _______________________ y = -1/4x - 4
You try it! Write the equation of the line that goes through (0, 4) and is perpendicular to the line y = 3x. The equation of the line is: _______________________ y = -1/3 + 4
For the Rest of Class work on the problems on Page 5 and 6. If you get done early, start your homework – Page 9