Given:
an equation is given as y = -8.
Find:
we have to find an equation parallel to the given equation and passing through (-6, -7).
Step-by-step explanation:
Compare the given equation with y = mx + b,
we find that slope ,m = 0 ,
the equation of the line passing through (-6,-7) is
y - (-7) = m( x - (-6))
y + 7 = 0(x + 6)
y + 7 = 0
y = -7
Therefore, y = -7 is an equation which is parallel to y = -8 and passing through ( -6, -7).
The graph of both y = -8 and its parallel equation y = -7 which passes through (-6, -7) is given as below
Red line represents the equation y = -8
and blue line represents the equation y = -7 passes through the point (-6,-7).
Therefore, the equation of the line parallel to y = -8 and passing through (-6,-7) is y = -7.