Question

Find the slope of the line graft below. I found the coordinates but I am unsure of the formula.

Answer 1

Answer;

`m\text{ = -}(4)/(3)`

Explanation;

Here, we want to find the slope of the given line

To do this, we are going to use the slope of a line formula

Mathematically, to use this, we need the coordinates of two points that lie on the given line

We have these already marked in red

Identifying the points, we have them as (0,1) and (3,-3)

Now, we write the formula to use and substitute the coordinates of the points as appropriate

We have this as:

`\begin{gathered} m\text{ = }(y_2-y_1)/(x_2-x_1) \\ \\ (x_1,y_1)\text{ = (0,1)} \\ (x_2,y_2)\text{ = (3,-3)} \\ \\ m\text{ = }(-3-1)/(3-0)\text{ = }(-4)/(3) \end{gathered}`