Write the equation of the line shown in the graph. Write the equation in slope-intercept form.
y = ________

Answer: y=1/4x+5
Step-by-step explanation:
Slope intercept form is
y=mx+b
where mx is the slope and b is the y-intercept.
The y-intercept is the part were the line touches the y axis, which in this case you can see is the five
To find the slope you need to use two points. I used (0,5) and (4,6).
This part is kind of tricky to explain so I kinda hope you already know this and sorry if it doesnt make sense but the slope needs to be written as rise/run which could also be reffered to as difference in y/difference in x. So basically what I did is subtract the difference in y values, which is 1 and the difference in x values, which is 4. And then I just put the difference in y value over the difference in x value
(ps I'm really sorry if im wrong-)
Step-by-step explanation:
Find the intersecting point
#1point = (0 , 5)
#2point = (-4 , 4)
(y - y1)/(y2 - y1) = (x - x1)/(x2 - x1)
(y - 5)/(4 - 5) = (x - 0)/(-4 - 0)
(y - 5)/-1 = x/-4
-4(y - 5) = -x
y - 5 = x/4
y = x/4 + 5 → equation