Question

Find the coordinates of the point where the graph of equation 5x + 2y = 10 intersect both axis.

Answer 1

In x-axis
(2,0)

In y-axis
(0,5)

Answer 2

A line of the form
$ax + by + c = 0$
can be also represented in the form
$\frac{x}{a} + \frac{y}{b } = 1$
where (a,0) is x-intercept and (0,b) is y-intercept.

so, converting the given equation into the above form, we get
$\frac{5x}{10} + \frac{2y}{10} = 1$
which is equal to
$\frac{x}{2} + \frac{y}{5} = 1$

therefore, the intercepts are (2,0) and (0,5) on the x and y axis respectively