Question

What is the y intercept of the line `x+y=7`?

Answer 1

The y-intercept is 7.

Explanation:

`x + y = 7` here is in standard form which is `ax+by=c`. So that it would be easier to find out the y-intercept, we must convert it into slope-intercept form (`y=mx+b`).

Transpose `x` to the other side.
It will become `y=-x+7`.

Since `m` is the slope and `b` is the y-intercept, (referring to `y = mx+b`) we should compare the two:

`y = mx+b` = `y = -x+7`

Comparing the two, you can see that `b = 7`.

Therefore, the y-intercept is `7`.