How do you write the standard form of the equation given (2,-4) and slope -1?

1 Answer
May 7, 2017

Start with point-slope form, then convert to standard form. #x+y=-2#

Explanation:

Consider point--slope form:
#y-y_1=m(x-x_1)# where m is the slope of the line and #(x_1,y_1)# is a point on the line

We can begin by using point-slope form to write a linear equation:
#y+4=-1(x-2)# by distributing the -1 we get:
#y+4=-x+2# we can add x to both sides and subtract 4 from both sides to get the standard form:
#x+y=-2#