Sheila needs to determine the equation of a line passing through the point (–6, –2) that is perpendicular to y = 2x– 4. Which equation best represents Sheila's equation?
+129849 (–6, –2) y = 2x– 4
The slope of the given line = 2
So.....the line perpendicular to this one will have a negative reciprocal slope, i.e., -1/2
So....using the point-slope form, we have
y - (-2) = (-1/2) ( x - (-6) ) simplify
y + 2 = (-1/2) ( x + 6)
y + 2 = (-1/2)x - 3 subtract 2 from both sides
y = (-1/2)x - 5
