What is the equation of the line through point (2, -3) with slope -4?

1 Answer
Nov 21, 2015

#4x+y=5#

Explanation:

The general slope-point for a line with slope #m# through a point #(hatx,haty)# is
#color(white)("XXX")(y-haty)=m(x-hatx)#

Given
#color(white)("XXX")m=(-4)#
#color(white)("XXX")(hatx,haty) = (2,-3)#
the slope-point form of the line is
#color(white)("XXX")(y+3)= (-4)(x-2)#

Converting to standard form:
#color(white)("XXX")y+3 = -4x+8#

#color(white)("XXX")4x+y=5#