For the line with a slope,m, of -4/1 and passing through the point (1,-2), how do you write the equation in the slope intercept format?

1 Answer
Jun 3, 2016

The equation of the line in slope intercept form is
#y=-4/1x +2#

Explanation:

The slope-intercept format of the equation of the line is #y=mx+b#
Where #m=# the slope and #b=# the y-intercept.

Since we are given the slope, #m=-4/1# and a point (1,-2) we can plug these values in and solve for the y-intercept.

#x=1#
#y=-2#
#m=-4/1#

#y=mx+b#

#-2=-4/1 (1) + b#

#-2=-4 + b#

#-2 +4 = cancel(-4)cancel (+4) + b#

#2=b#

The equation of the line in slope intercept form is
#y=-4/1x +2#