Final answer:
The equation of the line along which the resultant of two perpendicular forces lies would be y = (4/3)x, assuming forces of 3 newtons and 4 newtons are acting along the x and y axes respectively.
Step-by-step explanation:
The student is asking about the equation of the line along which the resultant of two forces lies when those forces are acting on an object. If two forces are acting along the x and y axes respectively, to find the resultant force, we can use vector addition. However, the information provided in the question and the text extracts do not give enough context to precisely determine the equation of the resultant force line. Generally, if two perpendicular forces of magnitudes 3 newtons and 4 newtons are acting on a point, their resultant force would have a magnitude of 5 newtons, determined by the Pythagorean theorem, and the angle made with the x-axis (θ) could be found using tangent (tan θ = opposite/adjacent = 4/3). The equation of the line of the resultant in this case would be y = (4/3)x.