What is the y intercept for a line with point (3,-5) slope -4/3?

1 Answer
Alan P.
Oct 1, 2015

y-intercept: #(-1)#

Explanation:

"slope-point form" for a linear equation with slope #m# through the point #(hatx,haty)# is
#color(white)("XXX")y=m(x-hatx)+haty#
For the given values this becomes
#color(white)("XXX")y = (-4/3)(x-3)+(-5)#

Simplifying
#color(white)("XXX")y=-4/3x +4 -5#
or
#color(white)("XXX")y = -4/3x-1#
which is the "slope-intercept form"
with slope #= -4/3#
and
y-intercept #=-1#

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