How do you write the equation in point slope form given (-2, -1), parallel to y = -3/2x - 5?

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Answer 1 · 2017-06-03T12:48:28

#y = -3/2x - 7/4#

The line is parallel therefore it has the same gradient but different #c#. This gives this equation:

#y = -3/2x + c#

Substitute the point (-2,-1) into the equation to get #c#

#-1 = -3/-4 + c#

#-1 = 3/4 + c#

#c = -1 - 3/4#

#c = -7/4#

Therefore:

#y = -3/2x - 7/4#