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success criteria i can calculate the rate of change from a graph i can …

Question

success criteria
i can calculate the rate of change from a graph
i can calculate the rate of change from ordered pairs
i can identify if the slope of a line is positive, negative, undefined or has a zero slope
i can explain what the rate of change means in a real - world situation
rate of change
vs.
slope
slope refers to the ____ of ____
between the ____ on a ____.
4 types of slope
ways to calculate slope
there are different methods to calculate the slope (rate of change) from a graph. you can use the:

  • counting method (rise/run)
  • slope formula
  • pick two points and create a table

(1,2) (4,8)
m = \frac{y_{2}-y_{1}}{x_{2}-x_{1}}
\

$$\begin{array}{|c|c|} \\hline x&y\\\\\\hline1&2\\\\\\hline4&8\\\\\\hline\\end{array}$$

Explanation:

Brief Explanations

Slope is the rate of change between two points on a line. For positive - slope, y - values increase as x - values increase; for negative - slope, y - values decrease as x - values increase; for zero - slope, y - values stay the same as x - values change; for undefined slope, x - values stay the same as y - values change.

Answer:

Slope refers to the rate of change between the points on a line.
For the 4 types of slope:

  • Positive slope: y - values increase as x - values increase.
  • Negative slope: y - values decrease as x - values increase.
  • Zero slope: y - values stay the same as x - values change.
  • Undefined slope: y - values change as x - values stay the same.