Question

what is the slope of a line that passes through the points (1,-5) and (-3,3)?

Answer 1

Have you considered calculating it?

\(\dfrac{3 - (-5)}{-3 - (1)}\) -- Go!

Answer 2

IF you were given two points (a, b) and (c, d)
first, find the slope of the line that connects them
slope is the "steepness" of a line in layman's terms, but more formally the ratio of change in y and x
\[slope = m = \frac{\Delta y}{\Delta x}=\frac{y_{final}-y_{initial}}{x_{final}-x_{initial}}=\frac{d-b}{c-a}\]