How do you write an equation in standard form given point (2,-2) and slope 3?

1 Answer
Jun 14, 2017

#y-3x=-8#

Explanation:

Since we are given a point and slope, it's easier to write the equation in the point-slope form, #y-y_1=m(x-x_1)# and then rewrite it so that it is in the form #Ax+By=C#

Plug in for #y_1#, #x_1#, and #m#:

#y-(-2)=3(x-2)#

Distribute:

#y+2=3x-6#

Move #3x# over to the other side:

#y+2-3x=3x-6-3x#

#y-3x+2=-6#

Move #2# to the other side:

#y-3x+2-2=-6-2#

#y-3x=-8#

Our equation is now in standard form. Note that #A=1# in this case.