Question

On a coordinate plane, a line with positive slope is drawn from point a to point b. point a is at (negative 5, negative 1) and point b is at (4, 1). what are the coordinates of point p on the directed line segment from a to b such that p is one-fourth the length of the line segment from a to b? (startfraction negative 29 over 4 endfraction , negative three-halves) (negative thirteen-fourths, one-half) (negative eleven-fourths, negative one-half) (twenty-five-fourths, negative one-half)

Answer 1

Option C. - (negative eleven-fourths, negative one-half)

Step-by-step explanation: edg 2023

Answer 2

(-2.25, -0.5)

or (-2 1/4, -1/2)

or (-9/4, -1/2)

Explanation:

The difference in x coordinate between point a and point b is 9 and y coordinate is 2.

Point a is lower and point b is higher, which means we need to multiply the difference between the coordinate x and y by 1/4 plus the coordinate of point a because pointt p is on the 1/4 segment a to b.

9 * 1/4 = 9/4 = 2.25

2 * 1/4 = 2/4 = 0.5

point a has the coordinate of ( -5, -1 )

-5 + 2.25 = -2.25

-1 + 0.5 = -0.5

the new coordinate should be (-2.25, -0.5)

or (-2 1/4, -1/2)

or (-9/4, -1/2)