Write an equation of a line that passes through 2,0 and is the perpendicular to the line y=-1/2x +3

9514 1404 393

  y = 2x -4

Step-by-step explanation:

The coefficient of x in the given equation is the slope of the line. A perpendicular line will have a slope that is the opposite reciprocal:

  -1/(-1/2) = 2

The point-slope form of the equation of a line can be used to find the desired equation:

  y -y1 = m(x -x1) . . . . . . line through (x1, y1) with slope m

For (x1, y1) = (2, 0) and m = 2, the equation is ...

  y -0 = 2(x -20

  y = 2x -4