Answer:
y = [tex]\frac{-1}{2}[/tex]x + 4
Step-by-step explanation:
Slope-intercept form: y = mx + b
[] m is the slope
[] b is the y-intercept
Slope
We can find slope by using change in y over change in x:
[tex]\frac{2-4}{4-0}=\frac{-2}{4}=\frac{-1}{2}[/tex]
[] So our slope is [tex]\frac{-1}{2}[/tex]
(since the line is negative, we can tell the line is going downwards from top-left to bottom-right)
Y-intercept
We will plug in one of the points into our equation so far, and solve for b:
y = [tex]\frac{-1}{2}[/tex]x + b
(2) = [tex]\frac{-1}{2}[/tex](4) + b
2 = -2 + b
4 = b
Have a nice day!
I hope this is what you are looking for, but if not - comment! I will edit and update my answer accordingly. (ノ^∇^)
- Heather