How do you write the equation in standard form given (5,6) and having a slope of 2?

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Answer 1 · 2016-05-23T16:00:17

#-2x + y + 4 = 0#

The standard form of the equation of a line is #Ax + By + C = 0#

To solve for the standard form we can begin by using the point-slope form of the equation #y - y_1 = m(x - x_1)#

For the example #(5,6)# and slope of 2

#x_1 = 5#
#y_1 = 6#
#m = 2#

#y - 6 = 2(x - 5)#

#y - 6 = 2x - 10#

#y - 6 cancel(+10) = 2x cancel(-10) cancel(+10)#

#y + 4 = 2x #

#-2x + y + 4 = cancel(2x) cancel -(2x)#

#-2x + y + 4 = 0#