Question

A line in the xy-plane that passes through the coordinate points (3, -6) and (–7, –4) will never intersecta line that is represented by which of the following equations?

A, x+5y=6
B, x+(y/2)=7
C, y-2x=-9
D, 2y-x=-8

Answer 1

Answer:

option A

Step-by-step explanation:

given coordinate (3, -6) and (–7, –4)

to find the equation of line

slope of the line passing through both the point will be

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

               $m = \dfrac{-4+6}{-7-3}$

               $m = -\dfrac{2}{10}$

equation of line

( y - y₁ ) = m ( x - x₁ )

$y + 6= -\dfrac{2}{10}(x - 3)$

x + 5 y = -27

line which will not intersect will be parallel to it so option A has same slope as our line equation i.e. -1/5

hence, correct answer is option A