What's the Slope?
Distance Time Speed
What do the lines mean?
More on Slope
Definitions
100

What can you find with this equation?

slope

100

What is the equation for solving Distance?

d = s x t

100

What are the coordinates of these points?




(50, 40) and (100, 80)

100

What color line shows the fastest speed?

blue

100

the distance traveled by the time interval during which the motion occurred



position

200

What are the x and y coordinates on this graph?  

(10, 60)  (30, 100)

200

An airplane flies 150 km in .5 hours. What is its average speed?

          s = d/t

300 km/hr

because

s = d/t

150 / .5 = 300

200

What is the object doing at A, B, C and E on the graph?


moving at a constant speed

200

The slope of this line is 1.2     1.2 what??

1.2 m/s     See:

200

the speed of an object in a particular direction


velocity

300

When you subtract the y coordinates, what do you get?


40

300

Grace drives her car with a constant speed of 56 km/h. How far can she travel in 1 hour?  

56 km

300

What is the moving object doing at E?

It's returning to the point of origin (point of reference)

300





Something like this:

Subtract 60-0 to get the change in y.

Subtract 50-0 to get the change in x.

Divide 60/50 to get the slope, 1.2

300

an object's change in position relative to a reference point

motion

400

When you subtract the x coordinates, what do you get?

20

400

Herbie jumped on his trampoline.  He flew up with a speed of 20 ft/sec.  How long did it take him to go up 12 feet?

0.6 seconds

because 

t = d/s

12 / 20 = .6
400

Which line is not moving?  It is stationary.

D

400

Write down the equation for slope from memory.  See if it matches the answer.

400

a location to which another location is compared

reference point

500

What is the slope of this line?


2

Here's how:

The coordinates are:  (10, 60)  (30, 100)

The change in y is 40 and the change in x is 20.

So:  40/20 = 4/2 or 2


500

!!DOUBLE JEOPARDY!!  Get it right and get two clicks.


Kyle threw a baseball 74 mi/hr.  It traveled  .0114 mi from the pitcher's mound to home plate.  How long did it take to get there?


1.54 seconds

because

t = d/s

.0114 / 74 = 1.54

500

What does a vertical line mean on a Distance - Time graph?

It doesn't mean anything.  It is undefined.

500

!!! TRIPLE JEOPARDY!!! Get it right and get three clicks.

What is the slope and speed of this line?


500

What is the measure of the steepness of a line?

slope

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