Find the slope of the line that passes through 4, −6 and −3, 1 . Write your answer in simplest form. Select "Undefined" if applicable.
The slope is ______ .

Find the slope of the line that passes through 4 6 and 3 1 Write your answer in simplest form Select Undefined if applicable The slope is class=

Respuesta :

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!