Question

what is the slope of the line passing through the points (-3,4) and (2,-1)?
A) -1
B) 1
C) 3/5
D) -3/5

Answer 1

@malcolmmcswain

Answer 2

@Love_333

Answer 3

To calculate slope (m), we need to find
\[m=\frac{ \Delta y }{ \Delta x }\]
Delta just means change, so we need to find change in y over change in x. (Also known as rise over run.) Luckily we have an equation for this:
\[m=\frac{ y _{2}-y _{1} }{ x _{2} -x_{1} }\]
We have all these values given to us in the given coordinates...
\[(x_1,y_1),(x_2,y_2)=(-3,4),(2,-1)\]
So our slope will be...
\[m=\frac{ (-1)-4 }{ 2-(-3) }\]
Which simplifies to...\[m=-\frac{ 5 }{ 5 }=-1\]
And voilà! We've found that our slope is A) -1!

If this helped, please be sure to leave a medal. Also, for future reference, this is posted in the history section, when it should be in the Mathematics subject. But no worries, you'll get it right next time.

-Malcolm <3

Answer 4

wow thx @malcolmmcswain

Answer 5

No problem! Make sure to @ mention me on any problems you have trouble with!