Question

The straight line p. passes through the point

(10,1) and it's porpendicular to the line
equation 2x + y=1. find the equation of P

Answer 1

y = 1/2 x - 4

Explanation:

Given the equation of the line as 2x+y = 1

Get the slope

y = -2x+1

Slope of the line is m = -2

Slope of the line P will ne M = -1/-2 (since they are perpendicular)

Slope of line P = 1/2

The equation in point slope form is expressed as;

y - y 0 = m(x-x0)

Given that x0 = 10, y = 1

y - 1 = 1/2(x-10)

2(y-1) = x-10

2y - 2 = x-10

2y = x - 10 +'2

2y = x-8

y = 1/2 x - 8/2

y = 1/2 x - 4

This gives the equation of line P