Question

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 ______ .

Answer 1

To find the slope between two points:

⇒ must know the slope's formula

`(y2-y1)/(x2-x1)`

• (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:

`slope = (1--6)/(-3-4) =(7)/(-7) =-1`

Thus the slope is -1

Hope that helps!