Question

Find the slope of the line containing the points (-3, -6) and (4, 7).

Answer 1

slope =
`(13)/(7)`

Explanation:

Calculate the slope m using the slope formula

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

with (x₁, y₁ ) = (- 3, - 6) and (x₂, y₂ ) = (4, 7)

m =
`(7-(-6))/(4-(-3))` =
`(7+6)/(4+3)` =
`(13)/(7)`

Answer 2

`(13)/(7)`

Explanation:

→ State the slope formula

( y₂ - y₁ ) ÷ ( x₂ - x₁ )

→ Substitute in the values

( 7 - -6 ) ÷ ( 4 - -3 )

→ Simplify

`(13)/(7)`