Students learn to read and graph lines using slope-intercept form — discovering that the slope (m) sets the steepness and direction, and the y-intercept (b) sets where the line crosses the y-axis.
Students will be able to…
Every straight line can be captured in one short equation, y = mx + b. What do the m and the b actually do?
Project this and change the slope and y-intercept. Watch the line move — m controls the steepness, b slides it up and down.
Tap any phase to open the teacher moves and student actions.
Two numbers can describe any straight line — which two?
Teacher models.
Class drives the Line Grapher.
Students graph lines.
One line.
Aligned to the Common Core State Standards for Mathematics, including the Standards for Mathematical Practice.
Use similar triangles to explain slope; derive y = mx + b.
Interpret y = mx + b as defining a linear function whose graph is a straight line.
Graph proportional relationships and interpret slope as a unit rate.
Construct a function to model a linear relationship.
Preview the three formative checks. Tap “Sample answer” to see what mastery looks like — hide them before you print for students.
Have students find the slope between two points using (y₂ − y₁) ÷ (x₂ − x₁), then write the full equation. A printable slope sheet is in the Math library.
Tap a card to flip it, then rate whether you knew it. Built from this lesson’s vocabulary.
A quick self-check with instant feedback, drawn from this lesson’s key terms.
A print-and-go review sheet with a built-in answer key. Tap “Show answer key” to reveal answers, or print the clean version for students.