Question 116769
The first line, {{{y=2x+3}}}, has a y-intercept of y=3.
The second line, using the point-slope form, is,
{{{y-2=-1(x-4)}}}
{{{y-2=-x+4}}}
{{{y=-x+6}}}
The second line's y-intercept is y=6. 
The difference in y-interecept, the distance, is 3.
{{{ graph( 300, 300,-10, 10, -10, 10, -x+6,2x+3) }}}