Respuesta :

mhanifa

Answer:

  • y = 2x - 3

Step-by-step explanation:

Given line:

  • y = - 1/2x - 1

We need to find a line that is perpendicular to the given line and passes through the pint (6, 9)

We know perpendicular lines have opposite-reciprocal slopes.

The slope of the line is:

  • (-1) / (- 1/2) = 1 *2 = 2

Use point-slope form to find the line:

  • y - 9 = 2(x - 6)

Convert the equation into slope-intercept form:

  • y - 9 = 2x - 12
  • y = 2x - 12 + 9
  • y = 2x - 3