Find the equation of the line perpendicular to y = - 1/2 ⁢ x − 5 that passes through the point ( 2 , 7 ) . Write this line in slope-intercept form.

Respuesta :

The equation of the perpendicular line as required is; y = 2x -3.

What is the equation of the perpendicular line?

Since the line in discuss is perpendicular to the given line whose slope is; -1/2. It therefore follows that the slope of the line to be determined is;

m = -1/(-1/2) = 2.

The equation of the required line can therefore be written as;

2 = (y-7)/(x-2)

2x -4 = y -7

Hence, y = 2x -3 is the equation of the line.

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