Question

Find the slope of the line through the given points:

(3,-4) and (-16, 8)
Leave answer as a fraction.
slope =
Blank 1:

Answer 1

`m = (y2 - y1)/(x2 - x1) \\ m = (8 - ( - 4))/( - 16 - 3) \\ m = (8 + 4)/( - 19) \\ m = (12)/( - 19) \\ m = - (12)/(19)`

I INDICATED THE FORMULA TO USE WHEN FINDING THE GRADIENT/SLOPEOF THE LINE.

Answer 2

`-(12)/(19)`

Explanation:

Hello!

We can use the slope formula to calculate the slope.

The Slope formula is
`m = (y_2-y_1)/(x_2-x_1)\\`, where m is the slope, and the x's and y's are the x and y coordinates from the given points.

Given the points: (3,-4) and (-16,8):

Find the Slope

• 
  `m = (y_2-y_1)/(x_2-x_1)\\`
• 
  `m = (8-(-4))/(-16-3)\\`
• 
  `m = -(12)/(19)\\`

The slope is -12/19.