Answer:
y= [tex]\frac{-1}{4}[/tex]x+3
Step-by-step explanation:
To write an equation for a line, we will first need to find the slope of the graph. This can be done by using the slope formula:
m= [tex]\frac{y_{2-y_{1}} }{x_{2}-x_{1}}[/tex]
Now, we can plug these points in this equation.
m= [tex]\frac{2-3}{4-0}[/tex] --> m= [tex]\frac{-1}{4}[/tex] .
Since we have derived the slope, we can simply use one of the points listed to solve for our other values by plugging them into the line formula:
y= mx+b
------------
2= [tex]\frac{-1}{4}[/tex](4)+b
2=-1+b
3= b
Therefore, the equation we get is:
y= -[tex]\frac{-1}{4}[/tex]x+3
