Question

Which statement BEST explains the relationship between lines GF & HJ?

Answer 1

Answer:

Option (4)

Step-by-step explanation:

Slope a line passing through two points $(x_1,y_1)$ and $(x_2,y_2)$ is given by,

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

Since, blue line is passing through two points (-4, -2) and (0, 4),

Slope of the blue line = $\frac{4+2}{0+4}$

                                    = $\frac{3}{2}$

Similarly, green line is passing through two points (-4, 1) and (0, -2),

Slope of the green line = $\frac{1+2}{-4-0}$

                                       = $-\frac{3}{4}$

Since, $\frac{3}{2}\neq -\frac{3}{4}$

Neither these slopes are opposite reciprocals.

Therefore, both the lines are neither parallel nor perpendicular.

Option (4) will be the correct option.