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:

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

Now, for given points:

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

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