Respuesta :

Answer:  No, they are not perpendicular

Explanation

Let's solve for y in the 2nd equation

x - 2y = -7

-2y = -x-7

y = (-x-7)/(-2)

y = (-x)/(-2) - 7/(-2)

y = (1/2)x + 7/2

The last equation is in slope-intercept form y = mx+b.

  • m = slope
  • b = y intercept

All that we care about is the slopes.

  • The slope of y = -x/5 + 1 aka y = (-1/5)x + 1 is m = -1/5
  • The slope of x-2y = -7 aka y = (1/2)x + 7/2 is m = 1/2

The two slopes (-1/5 and 1/2) are not equal, so the lines are not parallel.

Furthermore, the two slopes do not multiply to -1, so the lines are not perpendicular.

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