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 = (y_2 - y_1)/(x_2 - x_1)`

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

`m_1 = (1 - 4)/(5 - (-1)) = (1-4)/(5+1) = - (3)/(6) = - (1)/(2)`

`m_2 = (10 - 4)/(0 - (-3)) = (10-4)/(3) = (6)/(3) = 2`

Our answers are:

`\boxed{m_1 = - (1)/(2)}`

`\boxed{m_2 = 2}`