Question

What are the intercepts of `2x-3y=-7`?

Answer 1

x-intercept: `-7/2=-3 1/2`

y-intercept: `7/3 = 2 1/3`

Explanation:

The x-intercept is the value of `color(blue)(x)` when `color(red)(y=0)`
`color(white)("XXX")2color(blue)(x)-3(color(red)(0))=-7`

`color(white)("XXX")2color(blue)(x)=-7`

`color(white)("XXX")color(blue)(x)=-7/2`

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The y-intercept is the value of `color(red)(y)` when `color(blue)(x=0)`
`color(white)("XXX")2(color(blue)(0))-3(color(red)(y))=-7`

`color(white)("XXX")-3(color(red)(y))=-7`

`color(white)("XXX")color(red)(y) = 7/3`