Question

The line joining the points (2, -3) and (-5, 1) is parallel to the line joining the points (7, -1) and (0, y). Then y =

Answer 1

Answer:

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Answer 2

Given ,

The line joining the points (2,-3) and (-5,1) is parallel to the line joining the points (7,-1) and (0,y)

We know that ,

$\boxed{ \sf{Slope \: (m) = \frac{ y_{2} -y_{1} }{x_{2} - x_{1}} }}$

And if two lines are parallel to each other ,

$\boxed{ \tt{ m_{1} =m_{2}} }$

Thus ,

$\mapsto \tt \frac{ 1 - (- 3)}{ - 5 - 2} = \frac{y - ( - 1)}{0 - 7}$

$\mapsto \tt \frac{4}{ - 7} = \frac{y + 7}{ - 7}$

$\mapsto \tt 4 = y + 7$

$\mapsto \tt y = - 3$

Therefore , the value of y is -3