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

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Answer 1 · 2017-01-14T21:03:41

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

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

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

$(color(blue)(-2) - 6)/(color(red)(-3) - 9)$

We can now calculate the value of the expression:

$(color(blue)(-2) - 6)/(color(red)(-3) - 9)$

$-8/-12$

$8/12$

$(4 xx 2)/(4 xx 3)$

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

$2/3$

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