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Free Fall 2026 NC Math 1 Weekly Support

Week 2

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Thursday

Thursday - Apply & Connect

I can connect equations, tables, graphs, and contexts to describe linear change.

Short Lesson

Different Representations Can Tell the Same Story

Equations, tables, graphs, and real-world situations can all describe the same linear relationship. Each representation may make different information easier to see.

Guided Examples

Move Between Representations

Example 1

Table to Equation

Use the table to write a linear equation.

Table
xy
05
18
211

Step-by-step solution:

  1. When x=0, y=5. The y-intercept is 5.
Example 2

Context to Intercepts

A tank contains 100 gallons and drains at 5 gallons per minute.

Model V=-5t+100

Step-by-step solution:

  1. (0,100) The y-intercept represents the starting volume.

Thursday Practice

Connect What You See

Use the representation that gives you the clearest next step.

Problem 1

Which table matches y=2x+3?

Table A

xy
03
15
27

Table B

xy
03
14
25
Choose one

Problem 2

A phone plan costs a $40 flat fee plus $5 per gigabyte. What does the y-intercept represent?

Choose one

Problem 3

Does this table represent a linear relationship?

Relationship Table
xy
05
18
211
313
Choose one

Problem 4

Find the slope of the line through (1,5) and (2,7).

Problem 5

You have $50 and spend $5 each day. The relationship is y=-5x+50. What does the x-intercept represent?

Choose one

Thursday Reflection

Which representation usually makes a y-intercept easiest for you to identify?

End of Thursday

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