Question 1050329
Slope for the line 7x+14y=-18 is  {{{-1/2}}}.


A line in the plane perpendicular to that one will have  slope  {{{2}}};
which is the negative reciprocal of the given line.


Finding y-intercept of other given line , x-5y=-25;
{{{-5y=-x-25}}}
{{{y=x/5+5}}}
y-axis intercept is  the point  (0,5).



RETURNING TO QUESTION
Find equation of the line with slope  2 and containing as y-intercept the point (0,5).


FIT DIRECTLY INTO SLOPE-INTERCEPT FORM
{{{highlight(highlight(y=2x+5))}}}