What is the y intercept for a line with point (6.-6) slope -7/3?

1 Answer
Sep 23, 2015

The y-intercept is #8#.

Explanation:

#y=mx+b# is the slope-intercept form for a linear equation, where #m# is the slope and #b# is the y-intercept.

#x=6,# #y=-6#

Substitute the known values for #x# and #y#, and solve for #b#.

#-6=-7/3*6+b=#

#-6=-42/3+b#

Simplify #-42/3# to #-14#.

#-6=-14+b#

Add #14# to both sides of the equation.

#14-6=b#

#8=b#

Switch sides.

#b=8#

The y-intercept is #8#.

The following graph has the slope-intercept equation #y=-7/3x+8#

graph{y=-7/3x+8 [-19.96, 20.04, -4.39, 15.61]}