Is the relationship shown by the data linear? If so, model the data with an equation.
2 answers:
Answer:
Yes, the relationship shown is linear. The equation of the line is y=-1.25x-13.25.
Step-by-step explanation:
This data is linear as y decreases at a constant rate. The equation of a line is y=mx+b, where m=slope and b=y intercept
To find m:
m=
m=
m=
m==-1.25
To find b, you can use any of the given points:
(-9,-2)
(-2)=-1.25(-9)+b
-2=11.25+b
-2-11.25=b
b=-13.25
Therefore, using the calculated values for m and b:
y=mx+b
y=-1.25x-13.25
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Yes. The two smaller squares have a sum of 169 which is the value of the larger square.
a^2 + b^2 = c^2
25 + 144 = 169
It can be done. Notice the figure below shows you how to arrange the squares to give the answer of a^2 + b^2 = c^2
