Question

Draw the graph for the equation given below: The co-ordinates of the points where the graph (line) drawn meets the co-ordinate axes are $\frac{1}{2}x+\frac{2}{3}y=5$.

Which of the following is correct?

• A. The point of intersection on the Y-axis is $(0,b)=(0,-7.5)$. The point of intersection on the X-axis is $(a,0)=(10,0)$
• B. The point of intersection on the Y-axis is $(0,b)=(0,7.5)$. The point of intersection on the X-axis is $(a,0)=(-10,0)$
• C. The point of intersection on the Y-axis is $(0,b)=(0,7.5)$. The point of intersection on the X-axis is $(a,0)=(10,0)$
• D. The point of intersection on the Y-axis is $(0,b)=(0,-7.5)$. The point of intersection on the X-axis is $(a,0)=(-10,0)$

Answer 1

The correct option is C The point of intersection on the Y-axis is $(0,b)=(0,7.5)$. The point of intersection on the X-axis is $(a,0)=(10,0)$

The figure represents the graph of given line

Hence, we have $(a,0)\equiv (10,0)$

& $(0,b)\equiv (0,\frac{15}{2})$