Question

Draw the graph for the equation given below :
The co-ordinates of the points where the line meets the $X$-axis and the $Y$-axis are respectively. $\frac{1}{2}x+\frac{2}{3}y=5$

• A. x-axis at (5, 0); y-axis at (0, $\frac{15}{2}$)
• B. x-axis at (10, 0); y-axis at (0, $\frac{5}{2}$)
• C. x-axis at (10, 0); y-axis at (0, $\frac{15}{2}$)
• D. x-axis at (5, 0); y-axis at (0, $\frac{5}{2}$)

Answer 1

Answer: (C)

The graph of the given equation $\frac{x}{2}+\frac{2y}{3}=5$ would be as shown.

Also,

$y=-3x+\frac{15}{2}$

$\therefore$intercept from graph are :

$X-axis:(10,0);Y-axis:(0,\frac{15}{2})$