Question

(3, y) and (9, -9); slope: -4/3Find yPLEASE HELP

Answer 1

For this case we have that by definition, the pendeinte of a line is given by:

$m = \frac {y_ {2} -y_ {1}} {x_ {2} -x_ {1}}\\(x_ {1}, y_ {1}) :( 3, y)\\(x_ {2}, y_ {2}) :( 9, -9)$

Substituting according to the data we have:

$- \frac {4} {3} = \frac {-9-y} {9-3}\\- \frac {4} {3} = \frac {-9-y} {6}\\6 * - \frac {4} {3} = - 9-y\\-8 = -9-y\\y = -9 + 8\\y = -1$

Answer:

$y = -1$