Question

Hello I need help taking to coordinates and the slope of them and putting them into y=mx+b.

Answer 1

`\begin{gathered} m=(y_2-y_1)/(x_2-x_1) \\ b=y_1-m\cdot x_1 \end{gathered}`

Explanation:

To calculate the slope of a line, we must have two coordinates or two points that cross this line.

The points would be:

`\begin{gathered} A(x_1,y_1) \\ B(x_2,y_2) \end{gathered}`

Then, we calculate the slope with the following formula:

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

Now, the value of b is calculated using the slope and a point, since point A or point B, like this:

`\begin{gathered} y_1=m\cdot x_1+b \\ b=y_1-m\cdot x_1 \end{gathered}`