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线性函数

函数的什么性态使它的图形成为一条直线?

1. Introduction

Introduction

2. Properties of linear functions

Properties of linear functions

3. Average rate of a linear function

For the linear function f(x) = 7 - 3x, what is the average rate of change on any interval?

4. Slope of a line through two points

What is the slope of the line through (-2, 5) and (3, -1)?

5. Point-slope form with a known slope

A line has slope 3/7 and passes through (-11, -17). Which equation is its point-slope form?

6. Slope of a parallel line

Which line is parallel to 2x - 3y = 5 and passes through (4, 9)?

7. Formula of a line from its graph

A graphed line passes through (4, 1) with slope -1/3. Which formula matches it?

8. Slope from a table

The table gives x = 1, 3, 4, 7 with f(x) = 7, 3, 1, -5. What is the slope of the linear function?

9. Reading slope and a point from point-slope form

The line y = -3 - 2.5(x - 5) is given in point-slope form. What are its slope and a point on it?

10. Slope and intercept from slope-intercept form

For the line y = 6 + 0.25x, what are the slope and the y-intercept?

11. A linear function's average rate can change

The average rate of change of a linear function is the same on every interval.

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