Question 261772
First get {{{2x + y = 5}}} in the slope intercept form
{{{y = -2x + 5}}}
This is now in the form {{{y = mx + b}}}
where {{{m}}} is the slope, so the slope is
{{{-2}}}
Any line which is parallel to this line will also have
slope = {{{-2}}}
Now you know a point on the line you're looking for,
(-4,7), and the slope, {{{-2}}}. The correct formula to use
now is {{{(y - y[1])/(x - x[1]) = m}}}
where 
{{{y[1] = 7}}}, 
{{{x[1] = -4}}}, 
{{{m = -2}}}
{{{(y - 7)/(x - (-4)) = -2}}}
{{{y - 7 = -2*(x + 4)}}}
{{{y - 7 = -2x - 8}}}
{{{y = -2x - 1}}} answer
check answer
does it go through (-4,7)?
{{{7 = -2*(-4) - 1}}}
{{{7 = 8 - 1}}}
{{{7 = 7}}}
OK