Week 14 Math 10

Slope of a line:

This week in Math 10 I learned all about the slope of a line. We would use this when trying to find, locate, or describe, a line or point on a graph. The idea and method of slope is fairly simple as long as you understand the basics and know how to identify the different types of slopes.

*The slope is basically directions to find any line or point on a graph*

Things you need to know:

  • slope= rise over run (rise/run)
  • rise= up and down (vertical/y-axis)
  • run= side to side (horizontal/x-axis)
  • always start with the point on the left of the graph, because you read left to right!
  • a nice point on a graph is a point located directly on the grid lines and not in between (no decimals)
  • positive slope = diagonal line pointing towards the right
  • negative slope = diagonal line pointing towards the left
  • undefined slope = straight horizontal line (parallel to the x-axis)
  • zero slope = straight vertical line (paralell to the y-axis)

How to find the slope of a line:

  1. find 2 nice points on the line
  2. connect the lines with a right angled triangle
  3. determine if the slope is negative or positive (is the line pointing left or right? right= positive// left= negative)
  4. figure out the vertical change (up and down) (rise)
  5. figure out the horizontal change (side to side) (run)
  6. put the numbers in the fraction (rise/run) and divide or reduce to lowest terms if and when possible

Examples:

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