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Given:
The given equation is:
A line is perpendicular to the given line and passes through the point (4,-1).
To find:
The equation of required line.
Solution:
The slope intercept form of a line is:
Where, m is slope and b is y-intercept.
We have,
Here, the slope of the line is -4 and the y-intercept is 3.
Let the slope of required line be m.
We know that the product of slopes of two perpendicular lines is -1. So,
The slope of required line is and it passes through the point (4,-1). So, the equation of the line is:
Therefore, the equation of the required line is .