Final answer:
Calculate the shortest distance from point A(-2, 3) to the line y = 12x + 1 using the distance formula, with the line equation rewritten as -12x + y - 1 = 0, and round off to the nearest tenth.
Step-by-step explanation:
The question involves finding the shortest distance from a point to a line in a two-dimensional plane. To find the distance from the point A(−2, 3) to the line y = 12x + 1, use the formula for the distance d of a point (x1,y1) from a line Ax + By + C = 0: d = |Ax1 + By1 + C| / √(A2 + B2). First, rewrite the line equation in this form by subtracting y from both sides, resulting in -12x + y - 1 = 0. Then, plug in the coordinates of A and the coefficients of the equation into the distance formula, and calculate the result. Finally, round the answer to the nearest tenth.