Question

What is the slope of this line?

Answer 1

Answer:
`-(8)/(5)`

Remember: RISE/RUN (y/x). Lines that are increasing have a positive slope, and lines that are decreasing have a negative slope.

You can find the slope in two ways:

1. Useful if the line is graphed: count the units between 2 points on the line.

• Let's use the points (-1, 4) and (4, -4).

• (-1, 4) is 8 units higher than (4, -4) and 5 units to the left of (4, -4).

• Because the line is decreasing, the slope is negative.

• Therefore, the slope is
  `-(8)/(5)`.

2. Useful if the line is not graphed: find the difference between the y-coordinate values divided by the difference of the x-coordinate values.

• Let's use the points (-1, 4) and (4, -4).
• 
  `(-4 - 4)/(4 - (-1)) = (-8)/(5)`

• Therefore, the slope is
  `-(8)/(5)`.

Answer 2

`m=-(8)/(5)`

Explanation:

Let

`A(-1,4),B(4,-4)`

we know that

The formula to calculate the slope between two points is equal to

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

substitute the values

`m=(-4-4)/(4+1)`

`m=(-8)/(5)`

`m=-(8)/(5)`