Slope of a

Linear Graph

How do you find slope?

RISE RUN

M = Y X

So, on a distance-time graph, slope is m =d

tAnd therefore, speed.

REMEMBER:on a position-time graph, slope = speed

If you walk at a constant speed, the graph of your motion could be represented on a d-t

graph by Y = mx + b .

Example: Walk at a constant 5.0 km/h. That is 5.0km in 1.0 hours.

time (h) distance (Km) 0 0 d(km)

1.0 5.0 2.0 10.0 3.0 15.0 4.0 20.0

t(h)

(1, 5)

(2, 10)

(3, 15)

(4, 20)

Example: Walk at a constant 5.0 km/h. That is 5.0km in 1.0 hours.

time (h) distance (km) d(km) 0 0 1.0 5.0 2.0 10.0 3.0 15.0 4.0 20.0

t(h)

(1, 5)

(2, 10)

(3, 15)

(4, 20)

The formula for this equation would be

Y = 5.0x + 0 or D = 5.0t

Answer the following with regard to the position-time graph below.When is the following object at rest? When is it moving forward? When is it moving backward?

(0, 0)

(4, 6) (10, 6)

(12, 0)

D(m)

T(s)

Answer the following with regard to the position-time graph below .What is the object’s velocity between 0 and 4.0 seconds?What is the object’s velocity between 10 and 12.0 seconds?

(0, 0)

(4, 6) (10, 6)

(12, 0)

D(m)

T(s)