How do you write the point-slope form of the equation that has a slope of #2# and passes through #(-1,4)#?

1 Answer
ProfLayton
Apr 19, 2016

#y=2x-6#

Explanation:

There is an equation in geometry known as the point-gradient formula: #y-y1=m(x-x1)#, where #m# is the gradient, and #(x1,y1)# are the coordinates of the point you're given.

Now let's use this formula to get a final equation:
#y-(4)=(2)(x-(-1))#, then simplify:
#y-4=2(x+1)#
#y-4=2x+2#
#y=2x-6#

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