Question

The graph shows the depth, y, in meters, of a shark from the surface of an ocean for a certain amount of time, x, in minutes: graph is posted in replies.

Part A: Describe how you can use similar triangles to explain why the slope of the graph between points A and B is the same as the slope of the graph between points A and C.
Part B: What are the initial value and slope of the graph, and what do they represent?

Answer 1

For Part 1: Well.... we can use SAS, because the right angles are equal, and the amount it 'rises' and 'runs' are equal in length
So, they're similar

Which means we only need one slope, and that is the slope for hte whole line

Answer 2

For Part 2:
Initial value is the y-intercept, where it crosses the y-axis
And the slope, you can calculate that by rise/run, find two points, find how much it 'rose', find how much it 'ran' and divide, rise over run, since that is the slope

Answer 3

For what they represent
initial value is y-intercept, so it's when x=0, the beginning of this
And slope represents how much it movies per minute

Answer 4

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