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Find the equation of the straight line passing through the point (0, 2) which is perpendicular to th...
4 months ago
Q:
Find the equation of the straight line passing through the point (0, 2) which is perpendicular to the liney = 1/4x + 5
Accepted Solution
A:
General Equation of a linear line : y = mx + b
Find the slope:
y = 1/4 x + 5
Slope = 1/4
Slope of perpendicular line = -4
Substitute m = -4 into the equation:
⇒ y = -4x + b
Find y-intercept:
At point (0, 2) ⇒ y-intercept = 2
Substitute b = 2 into the equation
y = -4x + 2
Answer: y = 4x + 2