find the equation of the line shown

Answer:
From the graph, the y-intercept is 9 and the slope is -1 so the equation is y = -x + 9. We know the slope is -1 because when x goes up by 1, y decreases by 1.
Step-by-step explanation:
When we know both the x- and y-intercepts of a line, we can conveniently use the intercept form.
Let
A=x-intercept=9
B=y-intercept=9
the intercept form of the equation is therefore
x/A + y/B =1
substituting numerical values,
x/9 + y/9 =1 ..........................(1)
Factoring the identical denominators
(x+y)/9 = 1
Cross multiply
x+y = 9 ...............................(2)
Both (1) and (2) are valid forms of equation of the given line.