Find the slope of the line through the points (0, -12) and (5, 3). (Write your answer in simplest form) *

Step-by-step explanation:

(x₁, y₁) = ( 0 , -12)   & (x₂ , y₂) = ( 5 , 3)

Slope =

(0 , -12) ; m =3

Equation: y - y₁ = m(x - x₁)

            y - [-12] = 3 (x - 0)

            y + 12   = 3x

                      y = 3x - 12

- "runner b is moving at a slower rate."

- "the graphs shown are graphs of distance(km) against time(min).

the slopes of this graphs are are given by:

slope = (change in y)/(change in x)

= (change in distance)/(change in time)

this is the formula for finding the speed. so, the slope of these graphs represent the speed of the runner.

taking each division in the graph to represent 1 on both axis:

runner a ⇒ speed = (2-0)/(1-0)

= 2/1

= 2 km/min

runner b ⇒ speed = (3-0)/(3-0)

= 3/3

= 1 km/min

this shows that   runner b is moving at a slower rate."

48 / 6 = x

in this case, x will equal the amount of money in each card!

x therefore will be 8.

trent had $8 in each birthday card.