How do you find the slope intercept form of a line perpendicular to y=3+2x, passing through (4, -1)?

1 Answer
Binayaka C.
Jul 24, 2016

The equation of the line in slope- intercept form is #y= -1/2*x+1#.

Explanation:

The slope of the line #y=2x+3; m=2:.#The slope of the perpendicular line is #m_1 = - 1/m=-1/2#. The equation of the perpendicular line in slope- intercept form is #y= -1/2*x+c#.The line passes through #(4,-1):. -1 = -1/2*4+c or c=1#.Hence the equation of the line in slope- intercept form is #y= -1/2*x+1#. graph{-1/2x+1 [-10, 10, -5, 5]}[Ans]

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