X varies directly with y. if x=75 when y=88, find x when y=23
1 answer:
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Answer:
y=5/4 x
The slope is 5/4
Step-by-step explanation:
To solve this problem we need to find the equation of the line, y=mx+b
We've been given a table with several points, so we can use two of them to perform our calculus.
To obtain the slope we need to use the equation of slopes:
Where (x1,y1) =(4,5) and (x2,y2)=(8,10)
m= (10-5)/(8-4)=5/4
To obtain b we can use the point (x2,y2)=(8,10) in the equation.
10=5/4 *8 +b
b=0
Hence our line has the following equation:
y=5/4 x