# 0.5x+y=5 ?

Jan 14, 2017

See explanation...

#### Explanation:

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

$0.5 x + y = 5$

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 $\left(0 , 5\right)$

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

$0.5 x + 0 = 5$

Multiplying both sides by $2$ we find:

$x = 10$

So the intersection is $\left(10 , 0\right)$

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

$y = - 0.5 x + 5$

This is in slope-intercept form, like:

$y = m x + c$

where $m = - 0.5$ is the slope.

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

$0.5 x = 5 - y$

then multiply both sides by $2$ to get:

$x = 10 - 2 y$

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

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

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