How do you write the equation in point slope form given (-3,-2) and m=1/4?

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Answer 1 · 2016-09-06T05:34:14

#y = (1) / (4) (x - 5)#

The equation of a line in gradient-point form is given as:

#y - y_(1) = m (x - x_(1))#

Substituting the values we get:

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

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

Now, to write the equation in point-slope form we just solve for #y#:

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

#=> y = (1) / (4) x - (5) / (4)#

#=> y = (1) / (4) (x - 5)#