Aline passes through the point (0, 2) and has a slope of -1/2. what is the equation of the line?
a) 2x+y=4
b)x-2y=4
c)x+2y=4

Step-by-step explanation:

The slope-intercept form:

y = mx  + b

m - slope

b - y-intercept (0, b)

We have (0, 2) → b = 2 and m = -1/2. Substitute:

y = -1/2x + 2            multiply both sides by 2

2y = -x + 4             add x to both sides

x + 2y = 4

an

y = 6x -3y -12

y +3y +12 = 6x

=> . x = { 2y / 3 +2 } this is equation of line in terms of x

=> . if line meets the x-axis the co-ordinates of meeting point would be ( x , 0 )

=> . x = 2 ( 0 ) / 3 + 2

=> . x = 2

so, the point is ( 2 , 0 )