Question 403271
find an equation for a line parallel to 3x+y=7 passing through (2,-1)


3x+y=7
y=-3x+7

compare with y= mx+b
m= -3 passing through (2,-1)
The slope of parallel line will be the same. m=-3

plug the values in y=mx+b
-1=-3*2+b
-1=-6+b
-1+6=b
b=5
..
The equation is

y= -3x+5

...
{{{graph(300,300,-5,5,-5,5,y=(-3x+7),y=(-3x+5))}}}