Question

The points (3,-6) and (11,r) lie on a line with slops 3/2. Find the missing coordinare r

Answer 1

r = 6

Explanation:

Calculate the slope m using the slope formula and equate to
`(3)/(2)`

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

with (x₁, y₁ ) = ( 3, - 6) and (x₂, y₂ ) = (11, r)

m =
`(r+6)/(11-3)` =
`(r+6)/(8)` =
`(3)/(2)` ( cross- multiply )

2(r + 6) = 24 ( divide both sides by 2 )

r + 6 = 12 ( subtract 6 from both sides )

r = 6