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Answer:
y = (1/3)*x + 5
Step-by-step explanation:
Step 1: determine slope or m
m = change in y-coordinates ÷ change in x-coordinates
m = (4-7)/(-3-6) = -3/-9 = 1/3
Step 2: determine y-intercept or b
y = m*x + b
y = (1/3)*x + b
4 = (1/3)*(-3) + b
4 = -1 + b
b = 5
Step 3: substitute values for m and b into the slope intercept equation
y = (1/3)*x + 5