What is the intersection point of the line y = -2x + 5 and the line perpendicular to it that passes through the point (5,5)?
+129850 The slope of the gven line is -2
The slope of a perp line = 1/2
Equation of this line
y = (1/2) ( x - 5) + 5
y = (1/2)x - 5/2 + 5
y = (1/2)x + 5/2
Setting this = to the given line to find the x intersection coordimate
-2x + 5 = (1/2)x + 5/2
(- 2 - 1/2)x = 5/2 - 5
( -5/2)x = -5/2
x = 1
And y = -2(1) + 5 = 3
Intersection pont = (1, 3)
