Question

Please answer and i have to show work

Answer 1

B

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, 2) and (x₂, y₂ ) = (r, - 4)

m =
`(-4-2)/(r-3)` =
`(-6)/(r-3)` , then equating gives

`(-6)/(r-3)` =
`(3)/(2)` ( cross- multiply )

3(r - 3) = - 12 ( divide both sides by 3 )

r - 3 = - 4 ( add 3 to both sides )

r = - 1 → B