Answer:
y = [tex]-\frac{1}{2}[/tex] x + 9
Step-by-step explanation:
Given parameters:
Coordinates = (-2,8)
Equation of the line y = 2x + 5;
Unknown:
Linear equation of a line perpendicular = ?
Solution:
From the given expression, a line perpendicular will have a negative inverse of the slope given.
y = 2x + 5
Equation of a line is y = mx + c;
y and x are the coordinates
m is the slope
c is the intercepts
y = 2x + 5 ;
The slope is 2;
A line perpendicular will have a slope of [tex]-\frac{1}{2}[/tex]
Since y = 8 and x = -2, let us find c;
8 = 2 x [tex]-\frac{1}{2}[/tex] + c
8 = -1 + c
c = 8+1 = 9
The equation of the line is;
y = [tex]-\frac{1}{2}[/tex] x + 9
