Respuesta :
Answer:
-6/7
Step-by-step explanation:
To find the slope of a line given two points on that line, you can use the slope formula: [tex]\frac{y_2-y_1}{x_2-x_2}[/tex] where you have points [tex](x_1,y_1) \text{ and } (x_2,y_2)[/tex].
When using that formula, do not put the subscripts when plugging in the answers.
Something that is equivalent to that formula and I think is easier to remember is:
Lining up the points and subtracting vertically and then putting 2nd difference over first difference.
Like this:
(-2 , 3)
- ( 5 , -3)
-------------
-7 6
So the slope is 6/-7 or -6/7.
It doesn't matter what order you do the points. You have done the (5,-3) on top instead.
Like this:
( 5, -3)
- (-2, 3)
--------------
7 -6
The slope is still -6/7.
If you don't like that and you do just directly like using that formula, then I will do it that way too.
So applying the formula either gives you: [tex]\frac{3-(-3)}{-2-5)}[/tex] or [tex]\frac{-3-3}{5-(-2)}[/tex]. Both will give us the same number.
[tex]\frac{3-(-3)}{-2-5)}=\frac{6}{-7}=\frac{-6}{7}[/tex]
[tex]\frac{-3-3}{5-(-2)}=\frac{-6}{7}[/tex]
