Answer:
C) -3
Step-by-step explanation:
We are given the following equation:
[tex]y-5=-3(x-17)[/tex]
And we want to determine its slope.
Note that this is in point-slope form. Recall that in point-slope form, we have:
[tex]y-y_1=m(x-x_1)[/tex]
Where m is the slope and (x₁, y₁) is an ordered pair.
From the equation, we can see that the value in front of the parentheses will be the slope of the line.
The value in front of the parentheses of our given equation is -3.
In conclusion, the slope of the line described by the equation is -3.
Hence, our answer is C.