324,710 views
23 votes
23 votes
The lines below are parallel. If the slope of the green line is -3, what is the

slope of the red line?
m =

User Mojo
by
3.3k points

2 Answers

16 votes
16 votes

Answer:

m=-3

Explanation:

Since the lines are parallel to each other, their gradients are equal.

∴ gradient of green line = gradient of red line

∴ m = -3

User Germano Plebani
by
3.6k points
22 votes
22 votes

Solution: slope=-3

Detailed explanation:

This little problem asks us to find the slope of the line. Let's do this!


\searrow

This is what parallel lines look like:

<------------------------------------------------------------------------------------------------------->

<------------------------------------------------------------------------------------------------------->

The two lines above will never intercept each other.

And that's what parallel lines are - they are lines that never intercept.

They can be vertical, horizontal, or diagonal, it doesn't matter. As long as both of them have the same slope and never intercept each other.

So, since parallel lines have identical slopes, the slope of the red line = slope of the green line (the problem provides us that both lines are parallel)

Slope of the red line = -3

Voila! There's our answer!

Cheers! ^-^

__________________________

Hope I helped! Best wishes!

Reach far. Aim high. Dream big.

"reflection"

__________________________

User Tom Maher
by
3.1k points