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### Slope of a line

Posted: Tue Apr 23, 2013 4:04 am
IB Mathematics SL, Coordinate geometry, Gradient of a line

How can we find the slope of the line passes through these points $B(4,7)$ and $C(3,8)$?

Thanks

### Re: Slope of a line

Posted: Tue Apr 23, 2013 4:07 am
IB Math SL, Coordinate geometry, Gradient of a line

The gradient $m$ of the line passes through two points $B(x_{1}, y_{1})$ and $C(x_{2}, y_{2})$ is given by the following formula:

$m=\frac{ y_{2}- y_{1}}{ x_{2}- x_{1}}$

Applying the above formula in our case we have

$m=\frac{8-7}{3-4}=\frac{1}{-1}=-1$

### Re: Slope of a line

Posted: Tue Apr 23, 2013 4:10 am
Thanks Nicole!