Question

How do you graph using the intercepts for `3x-5y= -10`?

Answer 1

Refer to the explanation.

Explanation:

If you want to graph the equation using the intercepts, convert the equation into the Intercept-form.
i.e., `x/a +y/b =1`, where `a` is the intercept on X-axis and `b` of Y-axis.

we have,

`3x-5y=-10`

Dividing both side by -10,

`y/2-3x/10 = 1`

Or,

`x/(-10/3)+y/2=1`

On comparing it with the intercept form,

X-intercept = `-10/3` and Y-intercept = 2

So in order to draw the graph of the following equation, you just have to join the points `(-10/3,0)` and `(0,2)` and extend the line as required.

Hope it helps :)