Question

What is the slope of a line parallel to the line whose equation is 6x+3y=816x+3y=81. Fully reduce your answer.

Answer 1

The slope of line parallel to line 6 x + 3 y = 81 is - 2

Explanation:

Given equation of line is

6 x + 3 y = 81

Now, standard equation of line is written as

y = m x + c

where m is the slope of the line

So, From given line equation can be written as

3 y = 81 - 6 x

Or, y = -
`(6)/(3)` x +
`(81)/(3)`

or, y = - 2 x + 27

So The slope m of this line = m = - 2

Now, again The other line is parallel to this line

Let the slope of other line = M

For parallel lines , slope are equal

I.e M = m

Or, M = m = - 2

Hence The slope of line parallel to line 6 x + 3 y = 81 is - 2 Answer