Numbers and Operations

Chapter 1

Numbers and Operations

Course: Gace Middle Grades Math 4 8 704
Subject: Gace Middle Grades Math 4 8 704
Chapter: Functions

1. Calculates the intercepts of a line and interprets them in a modeling context

Intercepts are points where a line crosses the coordinate axes:

• The x-intercept is the point where y = 0.
• The y-intercept is the point where x = 0.

How to calculate algebraically:

For a line in standard form Ax + By = C:

• To find the x-intercept, set y = 0 → x = C/A.
• To find the y-intercept, set x = 0 → y = C/B.

Examples:

Equation: 2x + 3y = 12

• x-intercept: y = 0 → 2x = 12 → x = 6 → (6, 0).
• y-intercept: x = 0 → 3y = 12 → y = 4 → (0, 4).