The required equation of the line is given as y = 2x - 3.
Given that,
The equation of the straight line passing through the point (3, 3) which is perpendicular to the line y= -1/2x - 4.
A line is a straight curve connecting two or more points that shows the shortest distance between the starting and ending points.
Here,
The slope of the given line = -1/2
So the slope of the perpendicular line = 2
Now,
The perpendicular line passes from (3, 3)
The standard form of the equation,
y - y₁ = m [ x - x₁]
Substitute the value in the above expression,
y - 3 = 2[x - 3]
y = 2x - 6 + 3
y = 2x - 3
Thus, The required equation of the line is given as y = 2x - 3.
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