Question 175885
Parallel to the graph of: {{{x + y =6}}}
Put this equation in slope-intercept form
{{{y = -x + 6}}}
The slope is {{{-1}}} because the general form is
{{{y = mx + b}}} where {{{m}}}= slope
Any line parallel to this line will also have slope = {{{-1}}}
--------------
The new equation must pass through (1,-4)
Since the general form is
{{{y = mx + b}}} and I know {{{m = -1}}}, I can write
{{{y = -x + b}}}
The way to find {{{b}}} is to plug in the x and y of (1,-4)
{{{-4 = -1*1 + b}}}
{{{-3 = b}}}
Now I can write the equation
{{{y = -x -3}}} answer