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To find the linear function that represents the line given by the point-slope equation y - 8 = (x - 4), we need to convert the given point-slope equation to slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept.
Given equation: y - 8 = x - 4
Simplify: y = x + 4
Now, we have the linear function in the slope-intercept form as y = x + 4. This equation represents the line given by the point-slope equation y - 8 = (x - 4).
Therefore, the correct answer is:
f(x) = x + 4
This linear function represents the line given by the point-slope equation y - 8 = (x - 4).
