Respuesta :
Answer: option c
Step-by-step explanation:
By definition, you can calculate the slope of line by applying the formula shown below:
[tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex]
Then:
You can see that in the option C the equation of the slope is applied correctly:
[tex]\frac{9-(-3)}{1-(-2)}[/tex]
Where:
[tex]y_2=9\\y_1=-3\\\\x_2=1\\x_1=-2[/tex]
Then, you obtain the following value of the slope of the line:
[tex]m=\frac{9-(-3)}{1-(-2)}=4[/tex]
Answer: Your correct answer should be C, [tex]\frac{(9 - (-3))}{(1 - (-2))}[/tex]
Step-by-step explanation:
Recall the slope equation is: (y2 - y1)/(x2 - x1) or [tex]\frac{(y2 - y1)}{(x2 - x1)}[/tex]. You need two points: point one (x1, y1) and point two (x2, y2).
* The first answer choice is flawed because not only is it in a different formula (xs are in the numerator instead of the denominator area), but it says 1 - 2 when it should be 1 - (-2) or 1 + 2.
* The second answer choice is flawed because it is in a different formula (this time, x1 - x2/y3 - y2) and 2 - 1 is suppose to be -2 - 1.
* The last answer is flawed because it should be -3 - (-) 11 and -2 - (-)4, or -3 + 11 and -2 + 4.
Note: If you had a negative operation and a negative number behind it, you can either formulate the equation like x - (-) y or drop the negative sign from said number and change the minus operation sign to the plus one (x + y).
The only answer choice that checks out and is not flawed is C.