PLEASE LET ME KNOW IS IT A OR B

Question

On a coordinate grid PQ , has the endpoints -P(-2, -11) ans Q(13,4) What is the location of a point R on PQ that is two-fifths of the way from P to Q?

A, 16/7, -47/7

B, 4, -5

C, 7, -2

D, 61/7, -2/7

Answer 1

To find coordinates of point (x,y) a fraction a/b between two points (x1,y1) and (x2,y2)

x = (x2 - x1) * a/b + x1

y = (y2 - y1) * a/b + y1

Here (x1,y1) = (-2,-11), (x2,y2) = (13,4) and a/b = 2/5

substituting:

x = (13 - -2) * 2/5 + -2 = 15 * 2/5 + -2 = 6 + -2 = 4

y = (4 - -11) * 2/5 + -11 = 15 * 2/5 + -11 = 6 + -11 = -5

(x,y) = 4,-5 (B)

Answer 2

P(-2,-11) and Q(13,4)

We want to be 2/5 of the way from P to Q

We are going to work with x and y separately

x: goes from -2 to 13

To go from -2 to13, we have to move a distance of 15.

Let’s break 15 into 5 sections to represent one fraction of the distance between P and Q. Each section is 15/5 = 3.

We want to be 2 sections away from P to get 2/5 distance

start -2 + 3 one section + 3 second section = 4

The x coordinate is 4

y: goes from -11 to 4

To go from -11 to 4, we have to move a distance of 15.

Let’s break 15 into 5 sections. Each section is 3 again.

We want to be 2 sections away from P

start -11 + 3 one section + 3 second section = -5

The y coordinate is -5

Answer: 4,-5