Answer:
y = (-1/2)x
Step-by-step explanation:
The slope of the given line is 2, the perpendicular line wil have a reciprocal slope given by -1/2 (add a minus sign, move the slope to the denominator).
So all that's left to calculate is the offset b of a line
y = -1/2 x + b
such that it passes through (4,-2). Filling in that point gives:
-2 = -1/2*4 + b
so b = 0!
y = -1/2x is the answer
Answer:
y = -1/2x.
Step-by-step explanation:
The slope of the perpendicular line = -1 / the slope of the given line.
This is -1/2.
Using the point slope form with m = -1/2, x1 = 4 and y1 = -2 we have:
y - y1 = m(x - x1)
y - (-2) = -1/2 (x - 4)
y + 2 = -1/2 x + 2
y = -1/2x + 2 - 2
y = -1/2x.
