The magnitude of vector (-7,-5) =
=

<span>vector as the sum of unit vectors = -7 i - 5 j</span>
Find the equation of the first line using the two given points: (1,-1) (-1,-5)
Slope = change in Y over change in x:
Slope = (-5-(-1)) / (-1-(1) = -4/-2 = 2
Now find y intercept: y - y1 = m(x-x1) = y -(-1) = 2(x-1)
Simplify to get y = 2x-3
Now a perpendicular line has a opposite reciprocal slope.
The perpendicular line would be y = -1/2x - 3
You are told the y intercept is -4 units greater, so add -4 to -3 to get -7
The answer would be A. y = -1/2x-7
Answer: y = -x + 7
Step-by-step explanation:
The slope is
, so we know the equation is of the form
.
Substituting in the coordinates (1,6) to find b,

Thus, the equation is y = -x + 7