Question

A line intersects the points (-23, -17) and (-13, -7). Find the slope of the line.

Answer 1

The slope of a line through points $A(x_1, y_1)$ and $B(x_2, y_2)$  is :

$\displaystyle{ \frac{y_2-y_1}{x_2-x_1}$

or 

$\displaystyle{ \frac{y_1-y_2}{x_1-x_2}$, 

it is the same thing, BUT it it always y's over x's and always in the same order of 1 and 2:

don't write: $\displaystyle{ \frac{y_1-y_2}{x_2-x_1}$

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The slope of the line through the points (-23, -17) and (-13, -7) is :

$\displaystyle{ \frac{-17-(-7)}{-23-(-13)}= \frac{-17+7}{-23+13}= \frac{-10}{-10}=1$


Answer: 1