Question 1096022

the line containing 1,-3 and 3,y is perallel to the line containing 5,-6 and 9,y find the value of y
<pre>Line are parallel so slopes are equal. Therefore, we get:  
{{{matrix(1,3, (y - - 3)/(3 - 1), "=", (y - - 6)/(9 - 5))}}}
{{{matrix(1,3, (y + 3)/2, "=", (y + 6)/4)}}}
4(y + 3) = 2(y + 6) ------- Cross-multiiplying
4y + 12 = 2y + 12
2y = 0 =====> {{{highlight_green(matrix(1,3, y, "=", 0))}}}
That's all!!