Question

What are the intercepts of `3y-2x=5`?

Answer 1

y-intercept: `5/3`
x-intercept: `(-5/2)`

Explanation:

The y-intercept is the value on the Y-axis where the equation crosses the Y-axis. Since for all point on the Y-axis, `x=0`, another way to say this is that the y-intercept is the value of `y` when `x=0`

Given: `3y-2x=5`
when `x=0`
`color(white)("XXX")3y-2xx0=5 rArr y=5/3`
So the y-intercept is `5/3`

Similarly the x-intercept is the value of `x` when `y=0`
`color(white)("XXX")3xx0-2x=5 rArr x=-5/2`
So the x-intercept is `(-5/2)`