Question

Find out the inclination of the straight line passing through the point (-3,6) and mid point of the line joining (4,-5) and (-2,9).

• A. 1
• B. -1
• C. 0
• D. 2

Answer 1

The correct option is B -1

Mid-point of line joining two points $(x_1,y_1)and(x_2,y_2)$ is $(\frac{x_1+x_2}{2},\frac{y_1+y_2}{2})$

$\therefore$ Midpoint of (4, -5) and (-2, 9) is
= $(\frac{4-2}{2},\frac{-5+9}{2})$
= (1, 2)

$\because$ Slope of a line passing through the points $(x_1,y_1)\text{and}(x_2,y_2)$ is $\frac{y_2–y_1}{x_2–x_1}$

$\therefore$ Slope of the line passes through (-3, 6) and (1, 2) is
= $\frac{2-6}{1+3}$
= -1

Hence, slope of the line is -1.