How do you write the equation in standard form given m = 4 and (4,3)?

1 Answer
Jake M.
Mar 20, 2018

#4x - y=13#

Explanation:

We are given a point and a slope, so we can use point-slope form:
#y - y_1 = m(x-x_1) #
We plug in the numbers we know and simplify until we get into standard form:
#y - 3 = 4(x - 4) #
#y-3 = 4x-16 #
#y = 4x - 13 #
#y - 4x = -13 #

We need it to be Ax + By = C, where A is positive, so we rearrange and multiply by -1
#-4x + y = -13 #
#4x - y = 13 #

and we're done

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