Beginning of the Semester To-Do List

Transcription

1 Beginning of the Semester To-Do List Set up your account at Read the Math 13xx Departmental Course Policies Take Course Policies Quiz until your score is 100%. You can find it on the Online Assignments tab at after you set up your account. Take Practice Test 1 (twenty times) until you master it by the deadline, and schedule a time to take Test 1 at CASA testing centers. The scheduling process can be completed through Proctored Exams tab on your CASA account. Learn your Grading ID Number (Peoplesoft ID number). Find the online textbook link at Buy an Access Code at the register at the UH Bookstore. Log on to and follow the steps to enter this Access Code. Deadline to enter the code: Sunday, September 4th, Buy a package of bubbling forms at the UH Bookstore. These must have your course s section number printed on them. You will need these forms beginning the 3 rd week of classes. (Online Sections do not need this package of bubbling forms.)

2 Finding the Equation of a Line Three usual forms: 1. Point Slope Form (y y 1 ) = m(x x 1 ) where (x 1, y 1 ) is a point on the line and m is the slope. 2. Slope Intercept Form y = mx + b where m is the slope and b is the y intercept of the line. 3. Standard Form Ax + By + C = 0 where A and B are not both equal to 0. Example 2: Write the following equation in slope intercept form and identify the slope and y intercept. 2x 4y =5 Example 3: Write an equation of the line that satisfies the given conditions. a. m = ½ and the y intercept is 3. b. m = 3 and the line passes through ( 2, 1). c. line passes through ( 6, 10) and ( 2, 2).

3 Parallel Lines and Perpendicular Lines Definition: Parallel lines are lines with slopes m 1 and m 2 such that they are equal, in other words Definition: Perpendicular lines are lines in which the product of the slopes equal 1. 1 Also known as the negative reciprocal. Example 4: Write an equation of the line that passes through the points ( 3, 8) and parallel to 2 4 Example 5: Write an equation of the line that passes through the points (1, 2) and perpendicular to 2 4.

4 x intercept and y intercept When graphing an equation, it is usually very helpful to find the x intercept(s) and the y intercepts of the graph. An x intercept is the first coordinate of the ordered pair of a point where the graph of the equation crosses the x axis. To find an x intercept, let y = 0 and solve the equation for x. The y intercept is the second coordinate of the ordered pair of a point where the graph of the equation crosses the y axis. To find a y intercept, let x = 0 and solve the equation for y. Example 6: Find the x and y intercepts of the graph of the equation 3x 4y = 8. Example 7: Find the x and y intercepts of the graph of the equation y = x 2 9.

5 Math 1310 Section 1.3 Graphing Equations One of the things you need to be able to do by the end of this course is to graph several types of equations. There are many methods to use. In this section, we ll create a table of values and ordered pairs, and then plot the points in the coordinate plane. Once we have the points plotted, we can connect the dots to get a good picture of the equation. Example 1: Determine which of the points (3, 2), ( 1, 3) and (0, 2) are on the graph of the equation 4x 3y = 6. Example 2: Determine which of the points ( 1, 1), (2, 1) and ( 2, 1) are on the graph of the equation 3 2 0

6 When we graphing an equation, it will be helpful to have more points than just the x and y intercepts of the graph. We can create a table of values with more choices for x and find the corresponding y values. Example 3: Sketch the graph of the equation by plotting points: y = 3x + 2. Example 4: Sketch the graph of the equation by plotting points: y = x + 3

7 Math 1310 Section 2.1: Linear Equations Definition: To solve an equation in the variable x using the algebraic method is to use the rules of algebra to isolate the unknown x on one side of the equation. Definition: To solve an equation in the variable x using the graphical method is to move all terms to one side of the equation and set those terms equal to y. Sketch the graph to find the values of x where y = 0. Example 1: Solve the following equation algebraically Example 2: Solve following equation algebraically (3 8x) = 4 6(1 + 5x) Example 3: Solve following equation algebraically. 2 7 x 1 5 3

8 Example 4: Solve following equation algebraically x 12x Example 5: Find the x intercept and y intercept of the following equation. Express the answers in coordinate point form. a b c