Please pardon our progress while we refine the look and functionality of our new ALEX site! You can still access the old ALEX site at alex.asc.edu. If you would like to share feedback or have a question for the ALEX Team, you can use the contact form here, or email us directly at administrator@alex.state.al.us.

### Knowledge

Students know:
• how to graph points on a coordinate plane.
• Where to graph the initial value/y-intercept.
• Understand how/why triangles are similar.
• how to interpret y=mx equations.

### Skills

Students are able to:
• create a graph of linear equations in the form y = mx + b and recognize m as the slope and b as the y-intercept.
• point out similar triangles formed between pairs of points and know that they have the same slope between any pairs of those points.
• Show that lines may share the same slope but can have different y-intercepts.
• Interpret a rate of change as the slope and the initial value as the y-intercept.

### Understanding

Students understand that:
• Slope is a graphic representation of the rate of change in linear relationships and the y-intercept is a graphic representation of an initial value in a linear relationship.
• When given an equation in the form y = mx + b it generally symbolizes that there will be lines with varying y-intercepts. even when the slope is the same.
• Use of the visual of right triangles created between points on a line to explain why the slope is a constant rate of change.

### Vocabulary

• Slope
• Rate of change
• Initial Value
• Y-intercept