Question

How do you find the slope and intercept of `x-y=10`?

Answer 1

Slope is `1`, `y`-intercept is `-10` and `x`-intercept is `10`.

Explanation:

Slope intercept form of equation of a line is

`y=mx+c`, where `m` is its slope and `c` is its intercept on `y`-axis

So if you want to know slope of a line and its intercept n `x`-axis, just express `y` in terms of `x` and coefficient of `x` will be the slope and any constant term added to it will be its intercept on `y` axis.

As we have `x-y=10`, this means `x-y+y=10+y`

or `x=10+y` i.e. `10+y=x` and hence

`10+y-10=x-10`

or `y=x-10` i.e. the form which we desired

Now as coefficient of `x` is `1`, slope of line `1`

and as constant term is `-10`, `y`-intercept is `-10`

In case you want `x` intercept, just put `y=0` in the equation

`x-y=10` and we get `x-0=10` or `x=10`

Hence `x`-intercept is `10`

graph{x-10 [-20.33, 19.67, -14.8, 5.2]}