Answer:
[tex]y=-\frac{1}{4}x+2[/tex]
Step-by-step explanation:
We will use the point slope formula: [tex]y=mx+b[/tex]
We will start by finding the slope([tex]m[/tex]).
The formula for slope is
[tex]\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
So if we just choose 2 random points on the line:
I choose (0,2) and (4,1), we get:
[tex]\frac{1-2}{4-0} = \frac{-1}{4}[/tex]
That's our slope.
Next we need to find the y-intercept([tex]b[/tex]). 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:
[tex]y=-\frac{1}{4}x+2[/tex]
