Question

Draw the graph for each equation given below; hence find the intercepts on the co-ordinate axes: $\frac{1}{3}x+\frac{1}{5}y=1$

• A. $(9,0),(0,2)$
• B. $(6,0),(0,8)$
• C. $(3,0),(0,5)$
• D. $(2,0),(0,6)$

Answer 1

The correct option is C $(3,0),(0,5)$

The given equation is $\frac{1}{3}x+\frac{1}{5}y=1$ which can be reduced in the form of $5x+3y=15$ ........ $\left(i\right)$

$x$ $0$ $3$

$y$ $5$ $0$

Plotting the points on the graph, we get above image.

The line given by $\left(i\right)$ intersects the co-ordinate axes at $(0,5)$ and $(3,0)$

Thus, the intercepts of co-ordinate axes are $(0,5)$ and $(3,0)$

Hence, option C is correct.