Find an equation of the line that passes through the points (1 2) and perpendicular to the line 2y-x=4

Steps to find the equation
1. Find the slope
2. Insert slope into the general equation
3. Find y-intercept
4. Insert -intercept into the equation found in step 2
And you get the equation of the line


Find the slope

2y - x = 4


Rewrite into the form y = mx + c

2y = x + 4
y = 1/2 x + 2

Slope = 1/2
Perpendicular slope = -2 (negative reciprocal)


Insert slope into the equation

y = mx + c
y = -2x + c


Find y-intercept

y = -2x + c
At point (1, 2)
2 = -2(1) + c
2 = -2 + c
c = 4


Insert y-intercept into the equation y = -2x + c

y = -2x + 4


y = -2x + 4