#A.plot the data using disatnace for the X-values and velocities for the y-values. what type of relationship seems to hold between the data?
#B. find a linear equation in the form Y=mx that models these data using the points (520,40,000) and (0.0). graph the equation with the data on the same coordinate axes.
table:
Galaxy            distance           velocity
virgo                    15                     1600
Ursa Minor          200                15,000 
Corona Borealis  290                24,000
Bootes                 520                  40,000

Respuesta :

I would say it is a positive relationship because the line slopes up.

(520,40,000) (0,0)
slope(m) = (y2 - y1) / (x2 - x1)
slop(m) = (0 - 40,000) / (0 - 520)
slope(m) = -40000/-520
slope(m) = 1000/13

y = mx + b
slope(m) = 1000/13
(520,40,000)..x = 520 and y = 40,000
now we sub
40,000 = 1000/13(520) + b
40,000 = 520,000/13 + b
40,000 = 40,000 + b
40,000 - 40,000 = b
0 = b

tso ur equation is : y = 1000/13x + 0...or just y = 1000/13x