Question

Write an equation in slope intercept form for a line with points (3,1)and(7,9)

Answer 1

First of all, we need to remember that the equation to find the slope m, given 2 points with coordinates:

`\begin{gathered} (x_1,y_1);\text{ point 1} \\ (x_2,y_2);\text{ point 2} \\ \text{slope = m = }((y_2-y_1))/((x_2-x_1)) \end{gathered}`

Now, for given points:

`\begin{gathered} \text{slope = m = }((y_2-y_1))/((x_2-x_1));(x_1,y_1)\text{ = (3,1); }(x_2,y_2)\text{ = (7,9)} \\ \text{slope = m = }((y_2-y_1))/((x_2-x_1))=((9-1))/((7-3))=(8)/(4)=2 \\ \text{slope = m =2} \end{gathered}`

Finally, the answer is that the value of the slope is 2.