Graphing and Interpreting Slope-Intercept Form

Question:
The equation y equals negative 2 x plus 10 represents a linear function. Part a: Identify the slope and y-intercept. Part b: Graph the line on a coordinate plane, clearly marking the y-intercept and at least two other points using the slope. Part c: Find the x-intercept by setting y equal to 0 and solving for x. Part d: Describe what the slope tells us about the graph's direction and steepness.

Graphing and Interpreting Slope-Intercept Form

This lesson explores the linear equation y = −2x + 10 as a model for understanding slope-intercept form. Students learn to identify the slope and y-intercept, build a table of points, graph the line, find the x-intercept algebraically, and interpret what slope communicates about a line's direction and steepness.

In this lesson, you will learn to:
• Identify the slope and y-intercept from an equation written in slope-intercept form y = mx