find the slope intercept form of the equation that passes through the given point and is perpendicular to the given line. (4,7) and y=2/3x-1

Question

find the slope intercept form of the equation that passes through the given point and is perpendicular to the given line. (4,7) and y=2/3x-1

Answer 1

The slope of the line with equation y = (2/3)x - 1 is 2/3.

 

Any line perpendicular to that line has slope -1/(2/3) = -3/2

 

Equation of line with slope -3/2 and containing the point (4,7) is:

 

    y - 7 = (-3/2)(x - 4)

 

    y - 7 = (-3/2)x + 6

 

        y = (-3/2)x + 13