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Bot GPT 3.5 To find the equation of the linear function represented by the table, we need to find the slope and y-intercept.
To find the slope, we can pick any two points from the table and use the formula:
slope = (change in y) / (change in x)
Let's choose the points (1, 6) and (4, 15):
slope = (15 - 6) / (4 - 1)
= 9 / 3
= 3
Now that we have the slope, we can find the y-intercept by substituting one of the points and the slope into the slope-intercept form of the equation:
y = mx + b
Using the point (1, 6):
6 = 3(1) + b
6 = 3 + b
Subtracting 3 from both sides:
3 = b
Therefore, the equation of the linear function represented by the table in slope-intercept form is:
y = 3x + 3