Which line is perpendicular to y = 2x -8 a. 4y = - 2x +2 b. y = 2x - 4 c. 3x + 2y = -6 d. y = - 2x + 7

Choice A is correct answer.

Step-by-step explanation:

We have to find a equation of line which is perpendicular to y=2x-8.

The slope of perpendicular lines are negative reciprocals of each other.

y=mx+c is standard form of equation of line where m is slope and c is y-intercept.

given equation is :

y=2x-8

Compare above equation with standard form of equation of line,we get

m=2

The slope of perpendicular lines are negative reciprocals of each other.

Hence,  m=-1/2

4y=-2x+2

dividing by 4 to both sides of above equation ,we get

Choice A is:

4y/4=-2x+2/4

y=-2/4x+2/4

y=-1/2x+1/2

hence,choice A has slope equal to -1/2.

4y=-2x+2 is equatio of line perpendicular to y=2x-8.

So,choice A is the answer.

idk

step-by-step explanation:

- "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."