The coordinates of point B is (4 , -2)
What is the slope of a line?
- The steepness of a line is measured by its slope.
- If a line connects two point C and D with coordinates (x₁ , y₁) and (x₂ , y₂) respectively then the slope of the line is : m = (y₂ - y₁)/(x₂ - x₁).
Given coordinates of point A = (2 , 4)
given coordinates of point B = (x , -2)
Slope of the line = m = (y₂ - y₁)/(x₂ - x₁)
m = ((-2) - 4)/(x - 2)
m = -6/(x - 2)
Given slope of line = m = -3
-6/(x - 2) = -3
2/(x -2) = 1
x - 2 = 2
x = 4
Hence, the coordinates of the point B is (4 , -2)
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