🧠 Interpreting Slope & Intercept: Show Your Thinking (S-ID.C.7)

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Interpret the slope and intercept of a linear model in context. Solve each problem and show your work.

1. C = 8x + 62, where C is cost in dollars and x is months of a phone plan. What do 8 and 62 mean?

Show your work

2. C = 25x + 60, where C is cost in dollars and x is months of a phone plan. What do 25 and 60 mean?

Show your work

3. T = 11x + 33, where T is savings in dollars and x is weeks. What do 11 and 33 mean?

Show your work

4. h = 3x + 20, where h is plant height in cm and x is weeks. What do 3 and 20 mean?

Show your work

5. C = 5x + 18, where C is cost in dollars and x is months of a phone plan. What do 5 and 18 mean?

Show your work

6. h = 13x + 73, where h is plant height in cm and x is weeks. What do 13 and 73 mean?

Show your work

Explain: How did you solve problem 1? Could you check it another way?

Answer key: 1) 8 = increase per one of x (months of a phone plan); 62 = starting value when x = 0 · 2) 25 = increase per one of x (months of a phone plan); 60 = starting value when x = 0 · 3) 11 = increase per one of x (weeks); 33 = starting value when x = 0 · 4) 3 = increase per one of x (weeks); 20 = starting value when x = 0 · 5) 5 = increase per one of x (months of a phone plan); 18 = starting value when x = 0 · 6) 13 = increase per one of x (weeks); 73 = starting value when x = 0

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Worksheets › Grade 9 Math (Algebra I) › Interpreting Slope & Intercept › Interpreting Slope & Intercept

Grade 9 (ages 14–15)Numbers & mathsFree printable PDF

About this grade 9 worksheet

Free Grade 9 Algebra I math worksheet (Common Core S-ID.C.7): interpreting slope & intercept — problems with space to show work and explain reasoning, with answer key. Skill: Interpret the slope and intercept of a linear model in context. Level: Grade 9 — also suits Year 10 (UK).

For teachers: skills & standards

CCSS S-ID.C.7: Interpret the slope and intercept of a linear model in context
Works as a morning-work page, a centre/station activity, homework or an early-finisher task.

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What age is it for?

It is designed for Grade 9 (ages 14–15), but use it with any child who is ready.

What skills does it build?

Interpret the slope and intercept of a linear model in context.

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More “Interpreting Slope & Intercept” printables (s-id.c.7: interpret the slope and intercept of a linear model in context)

Interpreting Slope & Intercept: Practice A (S-ID.C.7) · Interpreting Slope & Intercept: Practice B (S-ID.C.7) · Interpreting Slope & Intercept: Mixed Practice & Reasoning (S-ID.C.7) · Interpreting Slope & Intercept: Quick Check (S-ID.C.7)

All 5 interpreting slope & intercept sheets → · Grade 9 Math (Algebra I): all 10 skills → · All Common Core grades

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