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Hi,
Using the standard slope-intercept form for an equation of a line y = mx + b
where m is the slope and b the y-intercept.
m = -4/7 (5,4)
y = (-4/7)x + b
4 = (-4/7)5 + b
48/7 = b
y = (-4/7)x + 48/7 or 4x+7y = 48