How do you evaluate the expression $\frac{y - 6}{x - 9}$ $(y-6)/(x-9)$ when x=-3 and y=-2?

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Answer 1 · 2017-01-14T21:03:41

Substitute $- 3$ $-3$ for $x$ $x$ and $- 2$ $-2$ for $y$ $y$ into the expression and calculate the result. See the full explanation below:

Substitute $- 3$ $color(red)(-3)$ for $x$ $color(red)(x)$ and $- 2$ $color(blue)(-2)$ for $y$ $color(blue)(y)$ into the expression:

$\frac{y - 6}{x - 9}$ $(color(blue)(y) - 6)/(color(red)(x) - 9)$ after substitution becomes:

$\frac{- 2 - 6}{- 3 - 9}$ $(color(blue)(-2) - 6)/(color(red)(-3) - 9)$

We can now calculate the value of the expression:

$\frac{- 2 - 6}{- 3 - 9}$ $(color(blue)(-2) - 6)/(color(red)(-3) - 9)$

$- \frac{8}{- 12}$ $-8/-12$

$\frac{8}{12}$ $8/12$

$\frac{4 \times 2}{4 \times 3}$ $(4 xx 2)/(4 xx 3)$

$(color(red)(cancel(color(black)(4))) xx 2)/(color(red)(cancel(color(black)(4))) xx 3)$

$2/3$

How do you evaluate the expression (y-6)/(x-9)y−6x−9(y-6)/(x-9) when x=-3 and y=-2?