bellwork you will need a graphing calculator today!!
TRANSCRIPT
Bellwork
You will need a graphing calculator today!!
linear NOT linear
y-intercept: y-coordinate ofthe point where a line crossesthe y-axis.
y-intercept = 4
slope= -3 8
http://www.phschool.com/atschool/academy123/html/bbapplet_wl-problem-431001.html
y = mx + b slope y-
intercepthttp://www.phschool.com/atschool/academy123/html/bbapplet_wl-problem-430899.html
Homeworkpp 294-297
2, 6, 10, 22, 23,
32, 35, 41, 45, 47,
50, 52, 56, 57, 62-64
Bellwork
point-slope form- non-vertical line that passes through point (x ,y ) with slope m
1 1
y - y = m ( x - x )
1 1
y - y = m ( x - x )
1 1
http://www.phschool.com/atschool/academy123/html/bbapplet_wl-problem-431007.html
http://www.phschool.com/atschool/academy123/html/bbapplet_wl-problem-431009.html
http://www.phschool.com/atschool/academy123/html/bbapplet_wl-problem-431010.html
Homework
y = mx + b
Slope-Intercept Form
Slope is easy to find.
What is the slope of x = ?What is the slope of y = ?
VUXHOY
STANDARD FORM Transform Standard Form
into Slope-Intercept Form:
Step 1 Ax + By = C
Step 2 By = -Ax + C
Step 3 y = -Ax + C B B
y = -Ax = C B B
What's the slope?m = -A
B
Example 1: Parallel Lines Parallel lines have exactly the same slope.
Equation of red line: y = 1x + 3 2 2Equation of blue line: y = 1x - 1 2
All horizontal lines are parallel and have a slope of what?
HOY
All vertical lines are parallel and have a slope of what?VUX
No matter what form of equation you use, find the slope and you have the slope of all the parallel line.
I will give you an equation and a point.
Find the slope of the equation.
That's all you need the equation for; you are finished with it.
Plug the slope and point into the the point-slope form of the equation.
Example 2: Perpendicular Lines·Form right angles where they meet·Slopes are negative, or opposite, reciprocals·Product of perpendicular = -1
Examples of negative reciprocals
1 and -3 1 and -1 3 1
-1 and 2 2 1
I will give you an equation and a point.
Find the slope of the equation.
That's all you need the equation for; you are finished with it.
Find the negative reciprocal of the slope.
- 1 5
Plug the slope into the slope-intercept formto write the equation.
Homework pp 314 -317
32-50 even
57-59
70