Chapter 1
Numbers and Operations
Course: Gace Middle Grades Math 4 8 704
Subject: Gace Middle Grades Math 4 8 704
Chapter: Functions
1. Determines an equation to represent a linear or quadratic function presented graphically
When a function is represented by a graph, the objective is to translate the visual information into a symbolic equation.
Linear functions
- Two points uniquely determine a line.
- Step 1: Identify two clear points (x₁, y₁) and (x₂, y₂).
- Step 2: Compute slope: m = (y₂ – y₁)/(x₂ – x₁).
- Step 3: Use slope and a point in point-slope form: y – y₁ = m(x – x₁).
- Step 4: Rearrange into slope-intercept form y = mx + b or standard form Ax + By = C.
Example: A line passes through (0, 5) and (4, 9).
- Slope: m = (9 – 5)/(4 – 0) = 4/4 = 1.
- Equation: y = x + 5.