please fill in the blanks for me i really need help strugaliing the formula is ..... y=mx+b

The complete function is: [tex]y = x+55[/tex]
Step-by-step explanation:
the given table represents a linear function
The linear function is represented by:
[tex]y = mx+b[/tex]
Here
m is the slope of function and b is the y-intercept
In this case, m will be calculated as:
[tex]m= \frac{Change\ in\ y}{Change\ in\ x}\\= \frac{61-60}{6-5}\\= 1[/tex]
Hence the slope is 1.
Putting in the equation
[tex]y = x+ b[/tex]
To find the value of b, we will put any pair of x and y in the equation
[tex]61 = 5 + b\\b = 60-5\\b = 55[/tex]
Hence,
The final equation for linear function is:
[tex]y = x + 55[/tex]
Keywords: Linear function, equation
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