Answer:
y=-1/4x+2
Explanation:
So the forumla for slope/intercept equation is:
y=mx+b
Y equals the y coordinates on the graph. This is the value that you plug in x to solve for.
m equals the slope of the graph. (In this case -1/4)
x equals the x coordinates. This will always be just x when writen in a slope intercept equation, since x is the value you plug in to solve for y.
b equals the y intercept. This is different from the y coordinates. This is a known value, which can be found when x=0. (In this case 2)
Now, using this lets plug in our numbers for the differet variables:
y=mx+b
We know that m, the slope, is -1/4. So:
y=-1/4x+b
We also know that b, the y inteercept, is 2. Since we have the coordiantes (0x, 2y). So:
y=-1/4x+2
This is all you have to do! This is because y is the number you solve for, and x is the value you plug.
Hope this makes sense and helps! :)