Distance Between Two Points

The equation of the given line is: We are required to find the points on the x-axis whose perpendicular distance from the given line is 4 units. The general formula to calculate the perpendicular distance of a point from a line is: For the given equation , we can multiply both sides by 12 to rewrite it in standard form: Now, we can apply the distance formula. Let since we are considering points on the x-axis, and we need the perpendicular distance to be 4: Solving this equation: Multiply both sides by 5: This gives two cases: 1) 2) Thus, the points on the x-axis are and . Hence, the correct answer is (A).