Lesson 2: Finding Slope and y-Intercept from Graphs

What is the relationship between an equation and its graph?

What does the slope represent in a real-world scenario?

What does the y-intercept represent in a real-world scenario?

How can you write a linear equation to represent a real-world situation?

linear equation ,
y-intercept ,
slope ,
unit rate ,
coefficient ,
constant ,
proportional relationship ,
similar triangles ,
origin ,
ordered pair ,
x-coordinate ,
y-coordinate

8.EE.B: Understand the connections between proportional relationships, lines, and linear equations.

8.EE.B.5: Graph proportional relationships, interpreting the unit rate as the slope of the graph.

8.EE.B.6: Use similar triangles to explain why the slope m is the same between any two distinct points on a non-vertical line in the coordinate plane; derive the equation y=mx for a line through the origin and the equation y=mx+b for a line intercepting the vertical axis at b.

Description: Guide students away from basic rates of change and moves them toward formalizing linear equations.

The purpose is to establish a deep connection between proportional relationships, geometric lines, and algebraic equations.

DOK 1: Recall and Reproduction
DOK 2: Skills and Concepts

Students frequently confuse the vertical change and horizontal change.

Students often struggle to connect the visual direction of a line with its algebraic value.

When analyzing real-world word problems, students regularly swap the positions of the slope and the y-intercept.

Color coded organizers

Check lists for steps to solve equations with parts labeled.

Exit Ticket