Pq has length of 17 units with p(-4,7).if x and y coordinates are both grater than x and y coordinates of p what are the possible integer value coordinated of q

Given P coordinate as (-4,7). Let Q coordinate be .

Distance between P and Q is 17 units.

Firstly, we will find the distance between P and Q using distance formula.

For the given points say the distance is given by the formula

Since, PQ = 17 units

So, we have to find the perfect squares so that the sum is 289.

Only 64 and 225 are the possibilities such that 64+225 = 289.

So, the possible coordinates are:

(8,15) (8,-15) (-8,-15) (-8,15) (15,8) (15,-8) (-15,-8) and (-15,8)

Since, it is given that 'x' and 'y' coordinates are both greater than x and y coordinates of P.

So, (8,15) and (5,18) are the possibilities to be coordinates of Q.

step-by-step explanation:

step-by-step explanation:

y = | -2(-2) |     →     y = | 4 |     →     y = 4       ⇒   (-2, 4)

y = | -2(-1) |     →     y = | 2 |     →       y =   2       ⇒   (-1, 2)    

y = | -2(0) |     →     y = | 0 |     →       y = 0         ⇒   (0, 0)

y = | -2(1) |   c →     y = | -2 |     →     y =   2         ⇒   (1, 2)    

y = | -2(2) |     →     y = | - 4 |     →     y =   4         ⇒   (2, 4)