1 / 12

Term 3 : Unit 3 Linear Law

Term 3 : Unit 3 Linear Law. Name : ___________( ) Class: _______ Date : _______. 3.1 Linear Law. 3.2 Applications of Linear Law. Linear Law. 3.1 Linear Law. Objectives. In this lesson, you will learn how to convert a non-linear relation to linear form,

amir-hewitt
Download Presentation

Term 3 : Unit 3 Linear Law

An Image/Link below is provided (as is) to download presentation Download Policy: Content on the Website is provided to you AS IS for your information and personal use and may not be sold / licensed / shared on other websites without getting consent from its author. Content is provided to you AS IS for your information and personal use only. Download presentation by click this link. While downloading, if for some reason you are not able to download a presentation, the publisher may have deleted the file from their server. During download, if you can't get a presentation, the file might be deleted by the publisher.

E N D

Presentation Transcript

  1. Term 3 : Unit 3Linear Law Name : ___________( ) Class: _______ Date : _______ 3.1 Linear Law 3.2 Applications of Linear Law

  2. Linear Law 3.1 Linear Law Objectives • In this lesson, you will learn how to • convert a non-linear relation to linear form, • use new variables X and Y to draw the graph of Y = mX + c, • estimate the values of the gradient m and the Y-intercept, c, • use the values of m and c to estimate unknown constants in the original • equation, • and use the linear graph of Y = mX + c to obtain the estimated values of x and y.

  3. Two variables x and y are related by the equation Linear Law Example 1 Calculate values of y for some values of x. Graph of Y against X. The points lie on a straight line.

  4. Two variables x and y are related by the equation Linear Law Example 2 Calculate values of xy(Y ) for some values of x. Graph of Y against X. The points lie on a straight line.

  5. Two variables x and y are related such that when is plotted against , a straight line is obtained. The line passes through the points A(1, –1) and B(4, 14). Express y in terms of x. Linear Law Example 3 The line passes through (1, –1).

  6. Two variables x and y are related by the equation Linear Law Example 4 (b) Draw the graph of lg y against lg x. The points lie on a straight line.

  7. Two variables x and y are related in such a way that when xy is plotted against , a straight line is obtained. The line passes through the points A(–1, –1) and B(5, 2). Linear Law Example 5 (a) Find an expression for y in terms of x. (b) Find the value of y when x = 2.

  8. Linear Law 3.2 Applications of Linear Law Objectives In this lesson, you will apply linear law to analyse experimental data.

  9. The table shows experimental values of two quantities x and y which are known to be connected by an equation of the form Plot against and use the graph to estimate the values of a and b. Linear Law Example 6

  10. Linear Law Example 7 The table shows experimental values of the variables x and y. It is known that x and y are related by the equation y = axn (a, n are constants) (a) Express the equation in a form to draw a straight line graph. (b) Draw the graph to estimate n and a.

  11. Linear Law (c) Calculate the value of x when y = 66. Using lg y = 1.62 lg x + 0.33, lg 66 = 1.62 lg x + 0.33 1.82 = 1.62 lg x + 0.33 lg x = 0.92 x = 0.82

  12. Linear Law Example 8 The table shows experimental values of the variables x and y. It is known that x and y are related by the equation y = ax2+ bx (a, b are constants) (a) Express the equation in a form to draw a straight line graph. (b) Draw the graph to estimate a and b.

More Related