What is the equation of the line that passes through the points (-7,0) and is parallel to the line x+y=1?
step 1
Find the slope of the given line
we have
x+y=1
isolate the variable y
y=-x+1
the slope m=-1
step 2
Find the slope of the parallel line to the given line
Remember that
If two lines are parallel, then their slopes are equal
so
the slope of teh parallel line is
m=-1
step 3
find the equation of the parallel line
y=mx+b
we have
m=-1
point (-7,0)
substitute
0=-1(-7)+b
solve for b
0=7+b
b=-7
therefore
the equation of the line uis
y=-x-7