a point P divides the line segment joining A(-4,8) and B(1,-2) in ratio 3:2. point Q is the point of intersection of the straight line 5x-3y=19 and 3x-2y=10. Find the slope P and Q
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Step-by-step explanation:
Equation of the line is 3x−4y=7
Given points are A(2,−7) and B(−1,3).
The ratio in which the line L=0 divides the line join of point A and B is −L22L11=
−(ax2+by2+c)(ax1+by1+c)
=−[3−(−1)−4.3−7][3.2−4(−7)−7]=−−3−12−7(6+28−27)
=−22−27=2227
The ratio is positive, therefore given points lie on opposite sides of the line
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