Today:Warm-Up/Final Exam ReviewFormula ReviewPoint-Slope
FormulaExamples & PracticeClass Work 2.11
15TH
Our 1st Coordinate Plane Test :Wednesday, Jan. 21; The Test will
include the following:Functions, Domain, RangeOrdered PairsStandard
& Slope Intercept Forms of a LineKhan Academy: As youve
probably realized, there is no KA this week.However, there will be
one for next week, and will be posted shortly.At the V6math
site.....
The Ultimate Guide to the coordinate plane.75 slides, start to
finish step-by-step review of the entire unit.Includes practice
problems with solutions. Yours to download.
Warm Up
1. What is 250% of 18? 3. 24 is reduced by 25%; what number
could you multiply 24 by to get the answer?2. 7|x10|9 = 54A
simplified number is .45 more than 50% of 3/5. Qual il numero?5.
The sum of 3 numbers is 112. The second number is 25% larger than
the first, while the third number is 75% larger than the first.
What are the numbers?x + 1.25x + 1.75x = 112 ; x = 28; x1 = 35; x2
= 49For #1; Mentis ArithmeticaFormula & Vocabulary Section of
your Notebook
The Point-Slope Form of a Line:
The last pieces of the coordinate puzzle are the point-slope
formula and the slope of a line formula. 4) Point-Slope form of a
lineSoon, youll be able to take any linear equation and create the
graph of that equation. You will also be able to take any line or
any points on a graph, and be able to determine the equation for
that line.You will have to memorize the following four formulas: 1)
Standard Form of a line equation 2) Slope - Intercept Form
EquationTodays formulas3) Slope of a line formula
Coordinate Plane Formulas:
Standard Form of a linear equation:Ax + By = CA, B, & C are
all constants and.. a.) A and B are not both zero. b.) The largest
exponent is not greater than 1
y2 y1x2 x1m =, (x1 x2 ) The slope is the change in y divided by
the change in x as we move along the line from (x1, y1) to (x2,
y2).change in y change in x Rise Run
=Slope of a line:The slope is m and the y-intercept is (0,
b).Slope-Intercept Form:y = mx + b
A linear equation written in the form y y1 = m(x x1) is in
point-slope form. (y is the letter, y1 is the coordinate)
The Point-Slope Form of a Line:
When you do not have the complete graph or the equation:Example:
Write the equation and graph the line that has a slope of 2 and
passes the point (-2,4)y 4 = 2(x -2) y = 2x + 8All you have is one
of the points passing through (x1, y1), and the slope (m) of the
line. In this situation, you begin to construct the equation by
using the point-slope form of a line.y y1 = m(x x1)
(4, 3)
m = -
13
xy
4488
What is the y-intercept?Now, determine where the line crosses
the x-axis?y =Put the equation in standard form first.Use the
point-slope formula to draw the line that has a....y y1 = m(x
x1)
Find the x-intercept
The Point-Slope Form of a Line:
Example 1: Write the equation of the line passing through the
point (-2, 5) with a slope of 3. Use the point-slope form, y y1 =
m(x x1), with m = 3 and (x1, y1) = (-2, 5).y y1 = m(x
x1)Point-slope formy y1 = 3(x x1)Let m = 3.y 5 = 3(x (-2))Let (x1,
y1) = (-2, 5).y 5 = 3(x + 2)y = 3x + 11You begin by using the
Point-Slope form of a line and finish with what form of a
line??
Other Examples:
Be Careful Here
Other Examples:
Write the equation of each line in both standard and
slope-intercept forms. The equations should have integers only (no
fractions)standard form is...
Graphing StoriesWe are going to watch a series of short videos.
Your task is to graph what happens in the video. Each action is 15
seconds long, and the video is repeated again at half speed.The x
variable is given on each graph. You will add the y variable before
watching the video. Please number your graphs, matching the order
of the video watched.
Follow Closely:
Graphing Stories
Graphing Stories
Class Work 2.11; Show All Work
