To write the equation of a line in slope-intercept form, there are two things we need: the y-intercept and the slope.
To find the y-intercept using a graph is relatively easy. We are looking to see where the line crosses the y-axis. In this case, that is at the point (0,4).
To find the slope, we need to first find two points that are on the line. I will be using the points (0,4) and (2,5), though you can use any two that you would like. Then, we'll need to use the slope formula (y2 - y1 / x2 - x1).
(5 - 4) / (2 - 0)
1 / 2 = slope
Now that we have the slope and y-intercept, we can simply plug those values into slope intercept form, y = mx + b, where m is the slope and b is the y-intercept.
Therefore, our equation of the line in fully simplified slope-intercept form is y = 1/2 x + 4.
Hope this helps!! :)
