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Answer:
The linear equation that gives the rule for this table will be:
- y=x+25
Step-by-step explanation:
Taking two points from the table
- (2, 27)
- (3, 28)
Finding the slope between two points
We know the slope-intercept form of linear equation is
where m is the slope and b is the y-intercept
substituting the point (2, 27) and m=1 in the slope-intercept form to determine the y-intercept 'b'
27 = 1(2)+b
27-2 = b
b = 25
Now, substituting m=1 and b=25 in the slope-intercept form to determine the linear equation
y=mx+b
y=1(x)+25
y=x+25
Thus, the linear equation that gives the rule for this table will be:
- y=x+25