How do you write the equation of the line that passes through the points (3, 4) and (–3, –8) in point-slope form?

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Answer 1 · 2016-01-22T03:57:15

The equation is

#y=2x-2#

The two Points are -

#(3, 4);(-3, -8)#

Then -

#x_1=3#
#y_1=4#
#x_2=-3#
#y_2=-8#

The formula you have to use is -

#(y-y_1)=(y_2-y_1)/(x_2-x_1)(x-x_1)#
#y-4=(-8-4)/(-3-3)(x-3)#
#y-4=(-12)/(-6)(x-3)#
#y-4=2(x-3)#
#y-4=2x-6#
#y=2x-6+4#

The equation is

#y=2x-2#