M.8.14
Construct a function to model a linear relationship between two quantities. Determine the rate of change and initial value of the function from a description of a relationship or from two (x, y) values, including reading these from a table or from a graph. Interpret the rate of change and initial value of a linear function in terms of the situation it models, and in terms of its graph or a table of values.
Example Problems
What is the slope of the line that contains the points in the table?
| x | y |
|---|---|
| -3 | 2 |
| -2 | 4 |
| -1 | 6 |
| 0 | 8 |
Could the table of (x, y) pairs have been generated by a linear function?
| x | y |
|---|---|
| 0 | 1 |
| 1 | 2 |
| 2 | 4 |
| 3 | 8 |
Could the table of (x, y) pairs have been generated by a linear function?
| x | y |
|---|---|
| 1 | 2 |
| 2 | 4 |
| 4 | 6 |
| 8 | 8 |
Khan Academy ResourcesIntro to slopeSlope formulaSlope reviewSlope-intercept introSlope from two pointsSlope-intercept from two pointsSlope from graphSlope-intercept equation from graphSlope from equationWorked example: slope from graphConverting to slope-intercept formSlope of a line: negative slopeWorked example: slope from two pointsSlope of a horizontal lineSlope & direction of a linePositive & negative slopeSlope from equationWorked examples: slope-intercept introIntro to slope

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