Final answer:
The equation y = 255t + 6559 converted to point-slope form is y - 6559 = 255(t - 0), corresponding to option A.
Step-by-step explanation:
To convert the equation y = 255t + 6559 into point-slope form, we need to first identify a specific point on the line and the slope of the line. Here, the slope (m) is 255, and the y-intercept (b) is 6559, which also gives us a point on the line: (0, 6559).
The point-slope form equation is y - y1 = m(x - x1), where (x1, y1) is the point on the line and m is the slope. Using the slope and y-intercept given, we rewrite the equation in point-slope form as:
y - 6559 = 255(t - 0)
This corresponds to option A: y - 6559 = 255(t - 0), which is the correct answer. Notice that subtraction by zero does not alter the expression, but it shows explicitly that the x-coordinate of the known point is 0.