5.5 Slope on axes with 1:1 Ratio

The slope of a line

The slope of a line tells us how steep the line is. For one unit to the right, how much increase is made vertically?

Here is a line segment with a slope of 3. One unit horizontally, 3 units vertically.

Here is a line segment with a slope of a half. One unit horizontally, half a unit vertically. It is easier to draw if you count two units horizontally, 1 unit vertically.

It is often calculated as \frac{\text{rise}}{\text{run}}

A horizontal line has slope 0. There is no increase or decrease.

A line at 45° has a slope of 1. That is, one unit to the right, one unit up.

Move the slider to see slope values between zero and one.

A line that has slope more than one is quite steep.

A line with negative slope is a line that goes down to the right.

Use the applet to create line segments of the following slopes:

  1. Slope AB = 5
  2. SlopeAB = -3
  3. Slope AB = 0
  4. Slope AB = 1
  5. Slope AB = -1
  6. Infinitely steep (vertical)
  7. Slope AB = \frac{5}{2}
  8. Slope AB = -\frac{1}{4}

Test out: Skill 2

Get 8 correct to test out of this skill.

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