8. What is the equation of the line that contains (2, 3) and is perpendicular to the line y = 2x + 3?
1 answer:
Hi there! :)
Given equation:
y = 2x + 3
A perpendicular line would have a slope of the negative reciprocal, therefore:
2x --> -1/2x
Use the equation y = mx + b to plug in the given point values along with the slope to solve for the final equation:
3 = -1/2(2) + b
3 = -1 + b
3 + 1 = b
b = 4
Therefore, the final equation is:
y = -1/2x + 4
The correct answer choice is C, y = -1/2x + 4.
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Slope of a Line Passing through two points (x₁ , y₁) and (x₂ , y₂) is given by :
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