of point B is equal to
of point A. Correct option A).
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 :
, passing through origin . General equation of a line is :
, 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.
⇒
![slope = tanx\\](https://img.qammunity.org/2021/formulas/mathematics/middle-school/aj82w4i9svi5lw5kh37hf99fmvnlcq42wr.png)
⇒
![tanx = (Perpendicular)/(base)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/vkeoeajje2y7gv0o2t5uy1bp0c1gd4uz12.png)
⇒
![tanx = (y)/(x)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/7dr8us3aas99mp6hdrz41cfmq6vhychzi4.png)
⇒
![slope = (y)/(x)](https://img.qammunity.org/2021/formulas/mathematics/middle-school/joqr8ceu7yolw0jnmyrx1vaadu32oxbmw6.png)
⇒
, which is constant i.e. ratio of y over x is a constant .Hence ,
of point B is equal to
of point A. Correct option A).