Question

Write an equation of the line that passes through a pair of points:

(4-5. - 2), (3-1)

a. y = 1/8x+11/8
b. y = 1/8x-11/8
c. y = -1/8×11/8
d. y = 1/8x+8/11


Please select the best answer from the choices provided A OB​

Answer 1

b)

The equation of the line that passes through a pair of points

`y = (-1)/(8) ( x ) -(11)/(8)`

Explanation:

Explanation:-

Given points are ( 5 ,-2) and ( 3,-1)

slope of the line

`m = (y_(2) -y_(1) )/(x_(2)-x_(1) ) = (-1-(-2))/(-3-(5)) = (1)/(-8)`

The equation of the line that passes through a pair of points

`y - y_(1) = m ( x - x_(1) )`

`y - (-2) = (-1)/(8) ( x - (5) )`

`y = (-1)/(8) ( x ) +(5)/(8) -2`

`y = (-1)/(8) ( x ) +(5-16)/(8)`

`y = (-1)/(8) ( x ) -(11)/(8)`