text: The equation for a line in slope-intercept form is:\n\ny=mx+b\n\nwhere m is the slope, and b is the y-intercept.\n\nFirst you need to rewrite the given equation to get the slope, because the slope of a line perpendicular is the negative reciprocal:\n\ny= (-14/9) - (7/9)x\n\nSo the slope of the perpendicular line is the negative reciprocal of -7/9, which is +9/7\n\nSo take that slope and the given point, and plug it into the y=mx+b equztion to get your answer:\n\n5=(9/7)(7) + b\n\nb=5-(9/7)(7)\n\nb=-4\n\nEquation:\n\ny=(9/7)x - 4