Question

Find the slope of the given points (2,5) and (8,-3) and write the equation​

Answer 1

Slope =
`(-4)/(3)`

4x + 3y = 23

Explanation:

slope =
`(y_(2)-y_(1))/(x_(2)-x_(1))=(-3-5)/(8-2) =(-8)/(6) =(-4)/(3)`

The equation:

`(y-y_(1) )/(x-x_(1) )=m` m is the slope

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

y - 5 = -4/3 (x - 2) Multiply both sides by 3

3y -15 = -4 (x - 2)

3y - 15 = -4x + 8

3y + 4x = 8 + 15

3y + 4x = 23

4x + 3y = 23