Question

Find the equation of the line shown

Answer 1

`y=-(1)/(4)x+2`

Explanation:

We will use the point slope formula:
`y=mx+b`

We will start by finding the slope(
`m`).
The formula for slope is

`(y_(2)-y_(1))/(x_(2)-x_(1))`

So if we just choose 2 random points on the line:

I choose (0,2) and (4,1), we get:

`(1-2)/(4-0) = (-1)/(4)`

That's our slope.

Next we need to find the y-intercept(
`b`). We can find that by looking at the graph. It is where x=0. So in this case y=2 when x=0.

So in point-slope form the equation is:

`y=-(1)/(4)x+2`