Question

13. Find y such that line through (3,y), (2, 7) is perpendicular to the line through(-1, 4) and (1,8).find the value of y.​

Answer 1

If both the line are perpendicular, then slope of both of them should be equal.

$\sf \frac{8-4}{1+1}= \frac{4}{2} = 2 \\\\\sf </p><p>And, \\\\\sf </p><p>\frac{y-7}{3-2}=y-7 \\\\\sf </p><p>Now, \\\\\sf </p><p>y-7= 2 \\\\\sf </p><p>Y=9</p><p>$