8.5AE - Proportional Relationships

$$y = 3x + 2$$

$$y = 5x$$

$$y = \frac{1}{x}$$

$$y = x^2$$

$$y = 3x$$

$$y = 6x$$

$$y = 9x$$

$$y = \frac{1}{3}x$$

$$x = 1$$

$$x = 2$$

$$x = 3$$

$$x = 4$$

$$y = 5x + 1$$

$$y = 5x$$

$$y = x + 5$$

$$y = 5$$

The slope is 0, indicating no change.

The slope is 1, indicating a direct relationship.

The slope is 8, indicating that for every 1 unit increase in $$x$$ , $$y$$ increases by 8 units.

The slope is 8, indicating that for every 8 unit increase in $$x$$ , $$y$$ increases by 1 unit.

$$[(0, 0), (1, 2), (2, 4), (3, 6)]$$

$$[(0, 1), (1, 3), (2, 5), (3, 7)]$$

$$[(0, 0), (1, 1), (2, 2), (3, 3)]$$

$$[(0, 0), (1, 4), (2, 8), (3, 12)]$$

Proportional

Non-Proportional

Yes, it's straight and goes through the origin

Yes, it's straight

Yes, it goes through the origin

Yes, the line is pretty