For the points given below, find (a) PQ and (b) the coordinates of the midpoint of PQ. P(0,-3), Q(7,0)

Step-by-step explanation:

Given  P(0,-3), Q(7,0), to get PQ, we will use the formula fr calculating the distance between two points expressed as;

PQ = √(x₂-x₁)²+(y₂-y₁)²

From the given coordinates, x₁ = 0, y₁ = -3, x₂ = 7, y₂ = 0

PQ = √(7-0)²+(0-(-3))²

PQ = √7²+3²

PQ = √49+9

PQ = √58

Let the coordinte of the midpoint be (X, Y)

X = x₁+x₂/2 and Y = y₁+y₂/2

Substituting the given coordinates will give;

X = 0+7/2

X = 7/2

X = 3.5

Y = -3+0/2

Y = -3/2

Y = -1.5

Hence, the coordinates of the midpoint of PQ is (3.5, -1.5)

step-by-step explanation:

step 1: solve one of the equations for one of the variables. let's solve the first equation for y:

step 2: substitute that equation into the other equation, and solve for x.

step 3: substitute x = 4 x = 4 x=4 into one of the original equations, and solve for y.