← Day 11
UNIT 5 / 8 · LESSON 4 / 4 · 23 MINUTES

Read slope and intercept in context

A graph is another form of a relationship. The slope is change per unit; the intercept is the starting value.

01 / THE METHOD

Make it repeatable

  1. Read the axis labels and units.
  2. Find the y-intercept at x = 0.
  3. Compute slope as rise divided by run.
  4. Interpret both in the problem context.
02 / WORKED EXAMPLE

Watch the method in action

A savings graph starts at $30 and rises by $10 each week.
  1. Intercept: $30 before any week passes.
  2. Slope: $10 per week.
  3. Model: y = 30 + 10x.

After four weeks, savings are $70.

03 / QUICK CHECK

Try it yourself

What does the slope represent?

04 / PRACTISE AND CHECK

Apply the method to real questions

Start with guided questions and feedback. Then take a fresh independent set without hints. Reach at least 80% on that set to record this lesson.

Pass the quick check above to unlock practice.