What is the slope-intercept equation for the line below?

the answer is y=-3x+4 becasue the y intercept is 4 and it goes down 3 for every 1 to the right.
Answer:
y=-3x+4
Step-by-step explanation:
To find the equation of the given line we use y=mx+b
where m is the slope and b is the y intercept
y intercept is the point wher the line crosses y axis
The graph crosses y axis at 4 so b= 4
Now we find slope using formula [tex]\frac{y2-y1}{x2-x1}[/tex]
To find slope pick two points from the graph
(0,4) and (1,1)
slope = [tex]\frac{1-4}{1-0}=-3[/tex]
slope m = -3
So equation of the line y=mx+b is y=-3x+4