Question

Line F passes through points 1,10 and 9,1. Line G is parallel to line F what is the slope of line G

Answer 1

slope of line G = -
`(9)/(8)`

Explanation:

calculate the slope m using the slope formula

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

let (x₁ , y₁ ) = (1, 10 ) and (x₂, y₂ ) = (9, 1 )

substitute these values into the formula for m

m =
`(1-10)/(9-1)` =
`(-9)/(8)` = -
`(9)/(8)` ← slope of line F

• Parallel lines have equal slopes , then

slope of line G = -
`(9)/(8)`