Question

Find the slope of the line passing through the points (-4, -3) and (8, -9).​

Answer 1

-1/2 or -0.5

Explanation:

You may determine the slope of a line by determining the rise and run of two points on the line. The rise is the vertical change between two places, whereas the run is the horizontal change. The slope is calculated by dividing the increase by the run: Slope equals rise run Slope is short for "raise and ."

• 
  `m=(raise)/(run)`

• 
  `m=(y_2-y_1)/(x_2-x_1)`

• 
  `m=(-9-(-3))/(8-(-4))`

• 
  `m=(-6)/(12)`

• 
  `m=-(1)/(2)`

Therefore, the slope of the line passing through the points (-4, -3) and (8, -9) is -1/2 or -0.5

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Hope this helps!

Answer 2

Explanation:

Slope formula:

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

m = slope

Substitute the points into the formula format:

`( - 9)/(8) - ( - 3)/( - 4)=m`

Using Integer rule for subtraction:

`( - 9)/(8) + (3)/(4) = m`

Solve:

`( - 6 / 6)/(12 / 6) = - (1)/(2) = m`

The slope is -1/2.