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