Find the equation of the line shown

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.

24/3=8 and 36/4=9

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