Question

`0.5x+y=5` ?

Answer 1

See explanation...

Explanation:

I am not sure what answer you are seeking, but here are some ideas:

`0.5x+y=5`

is the equation of a line.

We can find the intersection with the `y` axis by setting `x=0` to get:

`0+y=5`

So the intersection is `(0, 5)`

We can find the intersection with the `x` axis by setting `y=0` to get:

`0.5x+0 = 5`

Multiplying both sides by `2` we find:

`x = 10`

So the intersection is `(10, 0)`

If we subtract `0.5x` from both sides of the original equation, then we get:

`y = -0.5x+5`

This is in slope-intercept form, like:

`y = mx+c`

where `m=-0.5` is the slope.

Alternatively, we can subtract `y` from both sides of the original equation to get:

`0.5x = 5-y`

then multiply both sides by `2` to get:

`x = 10-2y`

This "solves" the original equation for `x` in terms of `y`.

We can graph the equation by drawing a line through `(0, 5)` and `(10, 0)` like this:

graph{(0.5x+y-5)=0 [-4.79, 15.21, -2.88, 7.12]}