How to do question 4. a and b?

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1 Answer
Feb 3, 2018

y=2.25xy=2.25x
d=24622md=24622m

Explanation:

y=mx+by=mx+b
b=0b=0, because it goes through the origin.
m=(y_1-y_2)/(x_1-x_2),m=y1y2x1x2, which is true for any two points which are included by the function. In this case we have the points:
p_1(0|0)p1(00)
p_2(10|22.5)p2(1022.5)
m=(22.5-0)/(10-0)=2.25m=22.50100=2.25
y=2.25x+0=2.25xy=2.25x+0=2.25x

For the distance we use pythagoras:

a^2+b^2=c^2a2+b2=c2
a=10, b=22.5, c=unknowna=10,b=22.5,c=unknown
10^2+22.5^2=c^2102+22.52=c2
606.25=c^2606.25=c2
Than, we take the root.
sqrt(606.25)=c~~24.622km (24622m)606.25=c24.622km(24622m)