Answer: -1
Explanation:
First, determine your slope from the given equation y = x - 6
In slope intercept form: y = mx + b, the value for m is the slope.
By looking at "x", there is a coefficient of 1 and therefore 1 is the slope.
Since parallel lines have the same slope, use the slope 1 to rewrite a second eqaution using
the point-slope formula: y - y1 = m(x - x1) and the given point (-6,7)
y - y1 = m(x - x1)
y - (7) = 1 (x - (-6)) (Plug in values)
y -7 = 1(x +-6) (Distribute negatives)
y -7 = -1x -6 (Distribute 1 to both terms in the parentheses)
+ 6 +6 (add 6 from both sides)
y = 1x - 1 OR y = x - 1
Check your work by plugging in the given point to your equation:
y = x - 1
6 = 7 - 1 (Plug in values)
7 = 7