Mathematics: Please answer and i have to show work

Red card because it is a fifty fifty chance for the colors but a 3 in 10 chance for a face card...

Please answer and i have to show work

lol23051

12.02.2022

Step-by-step explanation:

Calculate the slope m using the slope formula and equate to $\frac{3}{2}$

m = $\frac{y_{2}-y_{1} }{x_{2}-x_{1} }$

with (x₁, y₁ ) = (3, 2) and (x₂, y₂ ) = (r, - 4)

m = $\frac{-4-2}{r-3}$ = $\frac{-6}{r-3}$ , then equating gives

$\frac{-6}{r-3}$ = $\frac{3}{2}$ ( cross- multiply )

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

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

r = - 1 → B

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