Question

Line f passes through points (5, 10) and (9, 1). Line g is parallel to line f. What is the slope of line g?

Answer 1

slope = -
`(9)/(4)`

Explanation:

Calculate the slope m of line f using the slope formula

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

with (x₁, y₁ ) = (5, 10 ) and (x₂, y₂ ) = (9, 1 )

m =
`(1-10)/(9-5)` =
`(-9)/(4)` = -
`(9)/(4)`

Parallel lines have equal slopes , then

slope of line g = -
`(9)/(4)`

Answer 2

-9/4

also known as

-2 1/4

Explanation:

(10-1)/(5-9) = 9/-4

parallel = same slope