Question

What is the slope of the line that goes through points (2, -4) and (-1, 8)

Answer 1

Hello !

Answer:

`\Large \boxed{\sf Slope =-4}`

Explanation:

The slope of a line is given by the following formula :
`\sf m=(y_B-y_A)/(x_B-x_A)` where
`\sf x_A` and
`\sf y_A` are the coordinates of A (same for B).

Given :

• 
  `\sf A(2,-4)`
• 
  `\sf B(-1,8)`

Let's calculate the slope with the previous formula :

`\sf m=(8-(-4))/(-1-2) \\\sf m=(8+4)/(-3)\\ \sf m=-(12)/(3) \\\boxed{\sf m=-4}`

Have a nice day ;)

Answer 2

Slope = -4

Explanation:

Given coordinates,

→ x1 = 2, y1 = -4

→ x2 = -1, y2 = 8

Now we have to,

→ Find the required slope of the line.

Formula we use,

→ Slope(m) = (y2 - y1)/(x2 - x1)

Then the required slope will be,

→ m = (y2 - y1)/(x2 - x1)

→ m = (8 - (-4))/(-1 - 2)

→ m = (8 + 4)/-3

→ m = 12/(-3)

→ m = -12/3

→ [ m = -4 ]

Therefore, the value of m is -4.