The point (-1,-4) is on the line given by which equation below ?

D. y = 4x

Step-by-step explanation:

y = 4x

Plug in The point (-1,-4) into the equation

when x = -1, y = 4(-1) = -4

So (-1,-4) is the solution of y = 4x

D

Step-by-step explanation:

To determine which line the point lies on , substitute the x-coordinate into the equation and if the value of y corresponds to the y-coordinate then the point lies on the line

A

y = x - 4 = - 1 - 4 = - 5 ⇒ point does not lie on the line

B

y = - 4x = - 4 × - 1 = 4 ⇒ point does not lie on the line

C

y = x + 4 = - 1 + 4 = 3 ⇒ point does not lie on the line

D

y = 4x = 4 × - 1 = - 4 ⇒ point lies on the line

- "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."