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Murljashka [212]
3 years ago
12

What is the slope of the line defined by the equation shown below ? 2x+3y+23=0

Mathematics
2 answers:
nordsb [41]3 years ago
6 0

Hi there!

I think the slope of the line crossing over the graph is negative.

Why?

Because y=<span><span>−<span>0.666667x</span></span>−7.666667 OR, read below!</span>

We will get a negative answer, to show that our slope is negative.

We'll solve for y instead of x.


2x + 3y + 23 = 0


1) Add -23 to both sides. (We're already starting out with a negative!)


<span><span><span><span><span>2x </span>+<span> 3y </span></span>+ 23 </span>+ <span>−23</span></span> =<span> 0 + <span>−23</span></span></span>

<span><span><span>
</span></span></span><span><span><span>2x </span>+ <span>3y </span></span>= <span>−23</span></span>

<span><span>
</span></span>

2) Add -2x to both sides.


<span><span><span><span>2x </span><span><span><span>+ <span>3y</span></span> + <span>−<span>2x </span></span></span>= <span><span>−23 </span>+ <span>−<span>2x</span></span></span></span></span></span></span>

<span><span><span><span><span><span><span /></span></span></span><span><span><span><span>
</span></span></span></span></span></span></span>

<span><span><span><span><span><span><span>
</span></span></span></span><span><span>3y </span>= <span><span>−<span>2x </span></span>− 23</span></span></span></span></span>

<span><span><span><span><span>
</span></span></span></span></span>

<span><span><span><span><span /></span></span></span></span>

<span><span><span><span><span>
</span></span>3) Divide both sides by 3.</span></span></span>

<span><span><span>
</span></span></span>

<span><span><span>
</span></span></span>

3y/3 = -2x - 23/3



y = -2/3x + -23/3


So, now that we've done all 3 steps, your answer is


y = -2/3x + -23/3, which is a negative answer!


Now we see that the slope of <span><span><span><span>2x</span>+<span>3y</span></span>+23</span>=0 is negative.</span>


Hope this helps! :D


Meant to add - The /'s are fraction bars

adell [148]3 years ago
5 0
<span>  Slope = -1.333/2.000 = -0.667  x-intercept = -18/2 = -9  y-intercept = -18/3 = -6</span>
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