How do you find a standard form equation for the line with P (2, 4) and is perpendicular to the line y = -2x + 12?

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Answer 1 · 2017-10-22T17:02:51

Standard form of equation for the perpendicular line is
#y = (1/2)x + 3#

Standard form of equation is
# y = mx + c# where m is the slope.

# y = -2x + 12#
Slope m1 = -2#

Slope of perpendicular line # m2 = -(1/m1) = -(1/-2) = 1/2#

Equation of perpendicular line passing through point P (2,4) is
#y - y_P = m_2 ( x - x_P)#

# (y - 4) = (1/2) ( x - 2)#

# y = (1/2) ( x - 2) + 4#

# y = (1/2) (x ) - 1 + 4 = (1/2)x + 3#