Question

Finding the slope of the line passing through the points

Answer 1

Slope formula: $\frac{y_2 - y_1}{x_2 - x_1}$

First, you would need to plug the coordinates into the slope formula. 
$\frac{6 - 2}{9 + 7}$

Now, all you would have to do is solve and simplify it. 
$\frac{6 - 2}{9 + 7}$ = $\frac{4}{16}$ = $\frac{1}{4}$

The slope of the line is $\frac{1}{4}$. 

I hope this helps!

Answer 2

Answer:

${\huge \boxed{\frac{1}{4}}$

Step-by-step explanation:

The slope formula is $\displaystyle \frac{Y_2-Y_1}{X_2-X_1}$

$\displaystyle Y_2=6\\\displaystyle Y_1= 2\\\displaystyle X_2=9\\\displaystyle X_1=(-7)$

$\displaystyle \frac{6-2}{9-(-7)}=\frac{4}{16}=\frac{4\div4}{16\div4}=\frac{1}{4}$

Therefore, the slope is 1/4, and the correct answer is 1/4.

Hope this helps!