Question

find the slope of the lines that pass through each pair of points. (-1,4) and (5,1); (-3,4) and (0, 10), m1= and m2=

Answer 1

For these equations, we are going to use the slope formula, as defined below ($m$ is slope and $(x_1, y_1)$ and $(x_2, y_2)$ are coordinate points):

$m = \dfrac{y_2 - y_1}{x_2 - x_1}$

We can simply "plug in" the coordinates we are given:

$m_1 = \dfrac{1 - 4}{5 - (-1)} = \dfrac{1-4}{5+1} = - \dfrac{3}{6} = - \dfrac{1}{2}$

$m_2 = \dfrac{10 - 4}{0 - (-3)} = \dfrac{10-4}{3} = \dfrac{6}{3} = 2$

Our answers are:

$\boxed{m_1 = - \dfrac{1}{2}}$

$\boxed{m_2 = 2}$