[tex]\frac{y}{x}[/tex] of point B is equal to [tex]\frac{y}{x}[/tex] of point A. Correct option A).
Step-by-step explanation:
Here we have , a straight line in the graph between x-axis & y-axis . There are two points given here, A and B which lie in same line . Equation of line :
[tex]y = \frac{3}{4}x[/tex] , passing through origin . General equation of a line is :
[tex]y = mx+c[/tex] , where m = slope of line , c = x intercept , comparing this equation to to equation of line given in graph we get that m = 3/4 & c =0.
Useful info from here is slope = 3/4 . We know that slope = tan(theta) i.e.
⇒ [tex]slope = tanx\\[/tex]
⇒ [tex]tanx = \frac{Perpendicular}{base}[/tex]
⇒ [tex]tanx = \frac{y}{x}[/tex]
⇒ [tex]slope = \frac{y}{x}[/tex]
⇒ [tex]\frac{y}{x} =\frac{3}{4}[/tex] , which is constant i.e. ratio of y over x is a constant .Hence , [tex]\frac{y}{x}[/tex] of point B is equal to [tex]\frac{y}{x}[/tex] of point A. Correct option A).