Question

Write an equation of the line that passes through a pair of points:
(2,3), (4,-2)

a. y=-5/2x-1/8

b. y=-5/2x-8

c. y=-5/2x+8

d. y=5/2x+8

Answer 1

Answer:

C. y= -5/2x+8.

Step-by-step explanation:

if to substitute the given coordinates into every given equation, then option 'C' is correct only: 3= -5/2 *2+8 and -2= -5/2*4+8.

Answer 2

Answer:

y=-5/2x+8

Step-by-step explanation:

m=(y2-y1)/(x2-x1)

m=(-2-3)/(4-2)

m=-5/2

y-y1=m(x-x1)

y-3=-5/2(x-2)

y=-5/2x+10/2+3

y=-5/2x+5+3

y=-5/2x+8