What is the equation of the line with slope #2# that passes through the point #(-1, -4)#?

1 Answer
Apr 9, 2018

#y=2x-2#

Explanation:

#"the equation of a line in "color(blue)"slope-intercept form"# is.

#•color(white)(x)y=mx+b#

#"where m is the slope and b the y-intercept"#

#"here "m=2#

#rArry=2x+blarrcolor(blue)"is the partial equation"#

#"to find b substitute "(-1,-4)#
#"into the partial equation"#

#-4=-2+brArrb=-4+2=-2#

#rArry=2x-2larrcolor(red)"equation in slope-intercept form"#
graph{(y-2x+2)((x+1)^2+(y+4)^2-0.04)=0 [-10, 10, -5, 5]}