Concept:A line that passes through the origin has the form y=mx.So only the slope m is needed.Explanation:The line passes through the origin (0,0) and the point (−3,−4).Calculate the slope m using these two points:m=−3−0−4−0=−3−4=34Since the line passes through the origin, the intercept b=0.Therefore, the equation is:y=34xAnswer:The correct option is B: y=34x.