Question

If the points A(x, 2), B(−3, −4) and C(7, − 5) are collinear, then find the value of x.

Answer 1

Hope it will help you .

Answer 2

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.

$m=\frac{y_2-y_1}{x_2-x_1}$

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

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

$10(-6)=-1(-3-x)$

$-60=3+x$

$x=-60-3=-63$

Therefore the value of x is -63.