Question

What is the slope of the line that passes through the points (−5,4) and (15,−4)?
A. -2/5
B. 0
C. -5/2
D. undefined

Answer 1

Well, let's start with this formula to get the slope:\[ m=\frac{y2-y1}{x2-x1}\]

Answer 2

\[\huge Slope=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}\]

Answer 3

(-5, 4) & (15,-4)

We could say that
x1 = -5
y1 = 4

x2 = 15
y2 = -4

Answer 4

So from there:

\[ m=\frac{y2-y1}{x2-x1}\]
\[ m=\frac{(-4)-(4)}{(15)-(-5)}\]
\[ m=\frac{-4-4}{15+5}\]
\[ m=\frac{-8}{20}\]
\[ m=-\frac{2}{5}\]

Answer 5

Does that make sense?