Human Factors of XR: Using Human Factors to Design XR Systems
Properties of straight lines
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2. Definition: Straight Lines - is the line that does not change direction. Slope of a Line - also called as gradient of straight line. It is the measure of the ratio of the vertical change to the horizontal change. x –Intercept - is the point where the graph of the line crosses the x – axis. y –Intercept - is the point where the graph of the line crosses the y – axis.
3. Forms of Equation of a Line FORM NAME EXAMPLE ax + by + c = 0 General form 2x + 4y + 8 = 0 ax + by = c y – y 1 =m(x – x 1 ) y =mx + b Standard form Point-slope form Slope-intercept Intercept form Two point form 2x + 4y = - 8 y - 4 = -½(x-12) y = -½x - 2
4. Lets do these: 1. Tell what form of equation of a straight line Is being given by each equation. 2. 3. 4. 5. 6. 7. 8. 9. 10. General form Standard form Point-slope form Intercept form Slope-intercept Two point form General form Slope-intercept Standard form Point-slope form
5. Gradient (Slope) of a Straight Line Gradient (also called Slope ) of a straight line shows how steep a straight line is. or Symbol used m =
6. Different Types of Gradients ( Slope ) of a Straight Line. 1. A line going up from left to right * rise is positive, and run is positive Slope or Gradient ( m ) is positive rise run
7. 2. A line going down from left to right * Down is negative , and run is positive Slope or Gradient ( m ) is negative down run
8. 3. A line that goes straight across Slope or Gradient ( m ) is zero
9. 4. A line straight up and down Slope or Gradient ( m ) is undefined * Division by zero is not possible.