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Slope formula: [tex] \frac{y_2 - y_1}{x_2 - x_1} [/tex]

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

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

The slope of the line is [tex] \frac{1}{4} [/tex]. 

I hope this helps!
CharlieBrown2002

Answer:

[tex]{\huge \boxed{\frac{1}{4}}[/tex]

Step-by-step explanation:

The slope formula is [tex]\displaystyle \frac{Y_2-Y_1}{X_2-X_1}[/tex]

[tex]\displaystyle Y_2=6\\\displaystyle Y_1= 2\\\displaystyle X_2=9\\\displaystyle X_1=(-7)[/tex]

[tex]\displaystyle \frac{6-2}{9-(-7)}=\frac{4}{16}=\frac{4\div4}{16\div4}=\frac{1}{4}[/tex]

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

Hope this helps!

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