Respuesta :

Noah11012
Let's rearrange the equation x + y = 6 to slope-intercept form. Solve for y.

x + y = 6

To get the y variable on the left-hand side alone, subtract x from each side.

x + y - x = 6 - x
y = 6 - x

Rearrange the right-hand side.

y = -x + 6

Now we have it in the slope-intercept form. And to find the slope, we look at the coefficient of x. But there is no coefficient of the -x term!

In all reality, there is. However, it's just 1. -1x is the same thing as -x. We don't show the 1 because it has no effect.

So, -1 is the slope.

The slope of the given equation is [tex]-1[/tex]. So, option a is correct.

Given:

The given equation of a line is [tex]x+y=6[/tex].

To find:

The slope of the given line.

Explanation:

The slope of the equation [tex]ax+by+c=0[/tex] is:

[tex]m=\dfrac{-a}{b}[/tex]

The given equation can be rewritten as:

[tex]x+y=6[/tex]

Here, [tex]a=1,b=1[/tex]. So,

[tex]m=\dfrac{-1}{1}[/tex]

[tex]m=-1[/tex]

Therefore, the correct option is a.

Learn more:

https://brainly.com/question/9969886

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