Question

Solve for the missing variable

(5, 4) & (2, c) slope is equal to 1/2
Please answer fast

Answer 1

c =
`(5)/(2)`

Explanation:

Calculate the slope m using the slope formula and equate to
`(1)/(2)`

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

with (x₁, y₁ ) = (5, 4) and (x₂, y₂ ) = (2, c)

m =
`(c-4)/(2-5)` =
`(c-4)/(-3)` , then

`(c-4)/(-3)` =
`(1)/(2)` ( cross- multiply )

2(c - 4) = - 3

2c - 8 = - 3 ( add 8 to both sides )

2c = 5 ( divide both sides by 2 )

c =
`(5)/(2)`