Question

the coordinates of the foot of the perpendicular from P(5,-1) to X-axis are

Answer 1

u can find your answer from figure

Answer 2

The foot of the perpendicular from P(5,-1) to x-axis is (5,0).

Step-by-step explanation:

To find : The coordinates of the foot of the perpendicular from P(5,-1) to x-axis ?

Solution :

Let co-ordinate of foot of perpendicular from P(5,-1) to x-axis is Q(x,y).

We know that,

Product of slope of two perpendicular lines is -1.

i.e. Slope of PQ × slope of x-axis = -1

Slope of two point is $m=\frac{y_2-y_1}{x_2-x_1}$.

Slope of PQ is $m_1=\frac{y-(-1)}{x-5}$

$m_1=\frac{y+1}{x-5}$

Slope of x-axis = 0

Substitute,

$\frac{y+1}{x-5}\times 0=-1$

$x-5=0$

$x=5$

As the foot lie on the x-axis so y-coordinate is 0.

Therefore, the foot of the perpendicular from P(5,-1) to x-axis is (5,0).

#Learn more

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