Sample lesson · Math · Grades 9-12
Linear Functions
Algebra I lesson on slope, x- and y-intercepts, and slope-intercept form, with real-world rate-of-change problems.
- 26 questions
- 5 categories
- 10 games
The questions
Rise Over Run
- What is the slope of the line through (0, 0) and (2, 6)?3
- What is the slope of the line through (1, 2) and (3, 10)?4
- What is the slope of the line through (0, 5) and (4, 3)?-1/2
- A line falls from left to right. Is its slope positive or negative?Negative
- What is the slope of a horizontal line?Zero
- What is the slope of a vertical line?Undefined
Where It Crosses
- In y = 2x + 7, what is the y-intercept?7
- Where does y = 3x − 6 cross the x-axis?(2, 0)
- What is the x-intercept of y = −x + 4?(4, 0)
- At the y-intercept, what is the value of x?0
- Which line passes through the origin: y = 5x or y = x + 5?y = 5x
Read the Equation
- In y = mx + b, which letter stands for the slope?m
- What is the slope of y = −4x + 1?-4
- Write the equation of a line with slope 2 and y-intercept 3.y = 2x + 3
- Rewrite 2x + y = 8 in slope-intercept form.y = −2x + 8
- y = 3x + 1 and y = 3x − 5 never cross. What do we call lines like these?Parallel lines
Vocabulary
- What do we call the steepness of a line, found by rise over run?Slope
- What do we call the point where a line crosses the y-axis?Y-intercept
- What do we call the point where a line crosses the x-axis?X-intercept
- What do we call the point (0, 0)?Origin
- What do we call a function whose graph is a straight line?Linear function
Real-World Lines
- A phone plan costs $20 a month plus $5 per gigabyte. What is the slope?5
- Same phone plan: $20 a month plus $5 per gigabyte. What is the y-intercept?20
- In a word problem, what does the slope tell you?Rate of change
- A 12-inch candle burns 2 inches per hour. Write its equation.y = −2x + 12
- A taxi charges $3 plus $2 per mile. How much is a 4-mile ride?$11
Plays in
- Quiz Board · The classic review board.
- Mystery Reveal · Guess it before the last clue.
- Tug of War · Every right answer pulls.
- Summit · Play it safe, or go for the steep climb.
- Heist · Steal to win.
- Claim the Grid · Get three in a row before anyone else.
- Board Race · Roll, hop, answer, race to the flag.
- Picture Unveil · What is hiding under the tiles?
- Escape Room · Crack the codes. Get out together.
- Rocket Launch · Fuel up, count down, lift off.
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