The linear equation that best fits the data is: y = 10x + 15.
How to Write the Linear Equation of a Data?
First, find the slope/unit rate (m) and the y-intercept/starting value, then substitute the values into y = mx + b.
Using two points on the graph, (1, 25) and (2, 35), find the slope (m):
Slope (m) = (35 - 25)/(2 - 1)
Slope (m) = 10/1
Slope (m) = 10
Substitute (x, y) = (1, 25) and m = 10 into y = mx + b to find b
25 = 10(1) + b
25 - 10 = b
b = 15
Substitute m = 10 and b = 15 into y = mx + b
y = 10x + 15
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