Answer:
y = x + 1
Explanation:
the equation of a line in slope- intercept form is
y = mx + c ( m is the slope and c the y- intercept )
given
x - y = 5 ( subtract x from both sides )
- y = - x + 5 ( multiply through by - 1 )
y = x - 5 ← in slope- intercept form
with slope m = 1
• Parallel lines have equal slopes , then
y = x + c ← is the partial equation
to find c substitute (- 7, - 6 ) into the partial equation
- 6 = - 7 + c ( add 7 to both sides )
1 = c
y = x + 1 ← equation of parallel line