Question

Find the slope of the line passing through the points (-2,5) and (3/2,2)

Answer 1

slope = -
`(6)/(7)`

Explanation:

Calculate the slope m using the slope formula

m =
`(y_(2)-y_(1) )/(x_(2)-x_(1) )`

with (x₁, y₁ ) = (- 2, 5) and (x₂, y₂ ) = (
`(3)/(2)`, 2)

m =
`(2-5)/((3)/(2)-(-2) )`

=
`(-3)/((3)/(2)+2 )`

=
`(-3)/((7)/(2) )`

= - 3 ×
`(2)/(7)`

= -
`(6)/(7)`