The coordinates of the foot of the perpendicular drawn from the point (6, 3) to the line by segment joining (4,1) and (8,3). is (6.4, 2.2)
What is an equation?
An equation is an expression that shows the relationship between two or more numbers and variables.
The equation of the line passing through (4,1) and (8,3) is:
y - 1 = [(3 - 1)/(8 - 4)](x - 4)
y = 0.5x - 1
The line perpendicular to y = 0.5x - 1 has a slope of -2. It passes the point (6, 3), hence:
y - 3 = -2(x - 6)
y = -2x + 15
The line y = 0.5x - 1 and y = -2x + 15 intersect at point (6.4, 2.2)
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