Question 1019919
Stated more clearly, {{{f(x)=(1/2)(3x+1)-1}}} and is not quite in point-slope form, ....


The question is about identifying an axis intercept, so to finds x or y intercept, let the other variable be 0 and solve for the nonzero  (if it is nonzero) variable.


Try start as  {{{y=(1/2)(3x+1)-1}}}
{{{2y=3x+1-2}}}
{{{2y=3x-1}}}
and if put into slope-intercept form,
{{{y=(3/2)x-1/2}}} showing the y-intercept is  (0, -1/2).


Let y=0 and solve for x, to find the x-intercept.