Question

17
11. If (x, 2), (-3, 4) and (7,-5) are collinear,
then x =
(a) 60
(b) 63
(e) 63.
(d) — 60

Answer 1

Answer:

The value of x is -63.

Step-by-step explanation:

The points A(x, 2), B(−3, −4) and C(7, − 5) are collinear, if the slope of AB is equal to the slope of BC.

m=\frac{y_2-y_1}{x_2-x_1}m=x2−x1y2−y1

\frac{-4-2}{-3-x}=\frac{-5-(-4)}{7-(-3)}−3−x−4−2=7−(−3)−5−(−4)

\frac{-6}{-3-x}=\frac{-1}{10}−3−x−6=10−1

10(-6)=-1(-3-x)10(−6)=−1(−3−x)

-60=3+x−60=3+x

x=-60-3=-63x=−60−3=−63