Question

Ratio in which the line 3x+4y=7 divides the line segment joining the points (1, 2) and (-2,1) is​

Answer 1

Answer:

Here's your required answer

Answer 2

The ratio in which the line 3x + 4y = 7 divides the line segment joining the points (1, 2) and (-2, 1) is 4:9.

• Given line is

                   3x + 4y - 7 = 0

                a = 3, b = 4, c = -7

• Given points are $(x_{1},y_{1})=(1,2) (x_{2},y_{2})=(-2,1)$
• The ratio in which the line ax + by + c = 0 divides the line segment joining the points $(x_{1},y_{1}), (x_{2},y_{2})$ is

              $m:n=(ax_{1}+by_{1}+c):(ax_{2}+by_{2}+c)$

              m:n = (3(1) + 4(2) - 7):(3(-2) + 4(1) - 7)

              m:n = (3 + 8 - 7):(-6 + 4 - 7)

              m:n = 4:9