Show that the line with equation 4y+3x=44 is a tangent to the circle with centre (5,1) and radius 5.

When a line is a tangent to a circle then the point of a tangent on a circle is perpendicular and also equal to the radius

So for perpendicular.

4y + 3x - 44 = 0

So, a = 4

      b = 3

      c = -44

      x = 5

      y = 1

Putting the values in the formula, we get

P = -4.2

Since the radius of the circle 5 is not equal  to P, The line is not a tangent to the circle.

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step-by-step explanation:

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i ran through it by the other answer is wrong