ii) Verify whether the point (1,5) lies on the locus a point which moves so that its distance from x-axis exceeds three times the distance from y-axis by 2.​

Respuesta :

The locus of the point represented by the equation y = 3•x + 2, indicates that the point (1, 5) is on the locus of the point.

How can the location of the point in relation to the point be found?

The distance from the x-axis is the y-value

The distance from the y-axis is the x-value

Therefore;

The equation of the locus of the point is presented as follows;

  • y = 3•x + 2

When x = 1, y = 3 × 1 + 2 = 5

When x = 1, y= 5

Therefore;

  • The point (1, 5) lies on the locus of the point.

Learn more about writing equations here:

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