Intermediate Algebra – Student Workbook – Second Edition 2013

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$Lesson 2a – Assessment - Scottsdale Community College - Math Blog$

Lesson 1b – Linear Equations Mini-Lesson y-intercept Also called the VERTICAL INTERCEPT, this is the special ordered pair with coordinates (0, b). 0 is the value of x (input) and the resulting output, b, is the y-coordinate of the y-intercept. The y-intercept is often used to help when graphing a linear equation and/or to determine the initial output value in an application setting. Problem 2 WORKED EXAMPLE – DETERMINE Y-INTERCEPT FOR A LINEAR EQUATION There are 3 main methods for finding the y-intercept (also called the vertical intercept) of a linear equation. Method 1: Read the value of b from y=mx + b form. Method 2: Solve for y when x = 0 Method 3: Solve the equation for y and then read the value b Example 1: Find the y-intercept for the equation y = -2x + 6. This equation is written in the form y = mx + b. Therefore, (using Method 1) the y-intercept is (0, 6). Example 2: Find the y-intercept for the equation 4x + 2y = 6 If the equation is NOT in y = mx + b form. Using Method 2, set x to 0 and solve for y. 4x2y 6 Original Equation 4(0) 2y 6 Set x to 0 2y 6 Divide both sides by 2 2 2 y 3 y intercept is (0,3) Example 3: Find the y-intercept for the equation 4x + 2y = 6 In this example, we use method 3 to rewrite the equation in y=mx + b form. 4x2y 6 Original Equation 4x 4x 2y 6 4x Subtract 4x from both sides 2y 4x6 2 2 Divide both sides by 2 y 2x 3 y intercept is (0,3) Scottsdale Community College Page 30 Intermediate Algebra
Lesson 1b – Linear Equations Mini-Lesson Problem 3 MEDIA EXAMPLE – DETERMINE SLOPE/Y-INTERCEPT FOR LINEAR EQUATION Complete the problems below. Note: Method 1 and Method 3 will be used to find the y-intercept for all the problems below because we are also asked to determine the slope. Practice finding the y-intercept using Method 2 as well. Equation y = mx + b form Slope Y-intercept a) y = -2x +5 b) y = 2 – x c) y = 3 4 x + 2 d) 2x – y = 4 e) 3x + 2y = 6 f) 8x = 4y Scottsdale Community College Page 31 Intermediate Algebra
Page 1 and 2: Scottsdale Community College Interm
Page 3 and 4: Table of Contents Lesson 1a - Intro
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Lesson 2b - Functions and Function
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Appendix A: You Try Answers Lesson
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Intermediate Algebra – Student Workbook – Second Edition 2013

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