Card 1 of 8
EasyStudy card 1
Prompt
What does slope measure?
Answer
The change in output for each one-unit increase in input.
Slope formula
\[m=\frac{y_2-y_1}{x_2-x_1}\]
MathAlgebra
Flashcards
Linear Functions Flashcards
Recall slope, intercepts, representations, and linear-model traps.
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Card 1 of 8. Answer hidden.
Card 2 of 8
MediumStudy card 2
Prompt
In y = mx + b, what do m and b represent?
Answer
m is the rate of change; b is the output when x = 0.
Slope-intercept form
\[y=mx+b\]
Card 3 of 8
MediumStudy card 3
Prompt
How can a table reveal a linear function?
Answer
Equal changes in x produce equal changes in y; the ratio Δy/Δx stays constant.
Card 4 of 8
MediumStudy card 4
Prompt
How do you find the units of slope?
Answer
Use output units per input unit.
Example
If cost is in dollars and time is in months, slope is dollars per month.
Card 5 of 8
MediumStudy card 5
Prompt
What is true of distinct parallel lines?
Answer
They have equal slopes and different intercepts.
Card 6 of 8
MediumStudy card 6
Prompt
What is a common intercept trap?
Answer
Treating the y-intercept as the starting input instead of the output at x = 0.
Card 7 of 8
MediumStudy card 7
Prompt
When is point-slope form useful?
Answer
When a slope and one point are known, especially before simplifying.
Point-slope form
\[y-y_1=m(x-x_1)\]
Card 8 of 8
HardStudy card 8
Prompt
What should you verify before interpreting a linear model?
Answer
Which variable is input, which is output, their units, and whether the context permits extrapolation.
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