Question

PLEASE PLEASE HELP

What is the slope of the line that passes through the points (-1, 2) and (-4, 3)?
을
-3

Answer 1

Step-by-step explanation

• Given two coordinate points.

`\begin{cases} (-1, 2) \\ (-4, 3) \end{cases}`

• Calculate and find the slope by using rise over run formula with two given points.

`m = (dy)/(dx) = (y_2-y_1)/(x_2-x_1)`

Substitute the coordinate points in.

`m = (3 - 2)/( - 4 - ( - 1)) \\ m = (1)/( - 4 + 1) \longrightarrow (1)/( - 3) \\ m = - (1)/(3)`

Hence, the value of m is - 1/3.

• Slope-intercept

`y = mx + b \\ \sf{where \: \: m \: \: = \: \: slope}`

Answer

`\large\boxed{m = - (1)/(3) }`