How to do question 4. a and b?

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1 Answer
Martin C.
Feb 3, 2018

#y=2.25x#
#d=24622m#

Explanation:

#y=mx+b#
#b=0#, because it goes through the origin.
#m=(y_1-y_2)/(x_1-x_2),# which is true for any two points which are included by the function. In this case we have the points:
#p_1(0|0)#
#p_2(10|22.5)#
#m=(22.5-0)/(10-0)=2.25#
#y=2.25x+0=2.25x#

For the distance we use pythagoras:

#a^2+b^2=c^2#
#a=10, b=22.5, c=unknown#
#10^2+22.5^2=c^2#
#606.25=c^2#
Than, we take the root.
#sqrt(606.25)=c~~24.622km (24622m)#

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