The slope intercept equation is written as:
y=mx+b
Where m is the slope by using rise/run and b is the y-intercept where the line crosses the y-axis.
So let’s find the y-intercept first, or b. Looking at the image, the line crosses the y-axis at 5, so therefore, b, or the y-intercept is 5.
Now let’s find m, or the slope. This is a negative slope because it’s going down from left to right, if it’s going up from left to right, it’s positive. Now use rise/run to find the slope. Count how many units down and right you have to go. Pick any two points. I’ll pick (0,5) and (2,3). I counted 2 down and 2 right. So the slope is -2/2, or -1.
Now put it all in the slope intercept equation and you’ll have:
y=-2/2+5 or y=-1+5
Hope this helped!