Question

Draw the graph for the equation $2x-5y=10$. The coordinates of the points where the graph (line) drawn meets the co-ordinate axes are:

• A. X-axis at $(a,0)=(5,0)$; Y-axis at $(0,b)=(0,-2)$
• B. X-axis at $(a,0)=(0,5)$; Y-axis at $(0,b)=(-2,0)$
• C. X-axis at $(a,0)=(-5,0)$; Y-axis at $(0,b)=(0,-2)$
• D. X-axis at $(a,0)=(-5,0)$; Y-axis at $(0,b)=(0,2)$

Answer 1

Answer: (A)

X-axis at $(a,0)=(5,0)$; Y-axis at $(0,b)=(0,-2)$

Given line: $2x-5y=10$

$\Rightarrow \frac{x}{5}+\frac{y}{-2}=1$

Here, the intercepts are $a=5,b=-2$

Hence, $(a,0)\equiv (5,0)$ and $(0,b)\equiv (0,-2)$.