To find the slope between two points:
⇒ must know the slope's formula
[tex]\frac{y2-y1}{x2-x1}[/tex]
- (x1, y1) --> any point on the line
- (x2, y2) --> any point on the line but (x1, y1)
Let's consider the information given
⇒ given two points ⇒ (4, -6) and (-3,1)
- Let's set: (you can interchange the two values of (x1,y1) and (x2,y2), it doesn't change the answer in any way)
(x1, y) --> (4, -6)
(x2, y2) --> (-3, 1)
Let's calculate the slope:
[tex]slope = \frac{1--6}{-3-4} =\frac{7}{-7} =-1[/tex]
Thus the slope is -1
Hope that helps!