The slope is #-1/2# and it passes through #(-3,4)#. What is the equation of this line ?

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Answer 1 · 2017-03-27T12:07:30

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

We can use the point slope form to find an equation. The general formula for point slope is:

#y-y_1=m(x-x_1)# where #(x_1, y_1)# is our point. Substituting in:

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

We can also write this in slope intercept form:

#y=-1/2x+5/2#

and in standard form:

#x+2y=5#

and looks like this:

graph{-1/2x+5/2 [-9.92, 10.08, -2.04, 7.96]}