Question

What is the slope on a cordinate plane between 6,1 & -4,-2

Answer 1

`(3)/(10)`

Explanation:

The slope of a line between two points
`(x_1,y_1)` and
`(x_2,y_2)` is defined as:

`m = (\Delta y)/(\Delta x) = (y_2 - y_1)/(x_2 - x_1)`

Note that the symbol
`\Delta` just means "change in", so we are representing "rise" as
`\Delta y` (change in y) and "run" as
`\Delta x` (change in x).

From the given points
`(6,1)` and
`(-4, -2)`, we can identify the following variable values:

• 
  `x_1 = 6`
• 
  `y_1 = 1`
• 
  `x_2 = -4`
• 
  `y_2 = -2`

Now, we can plug these into the slope definition:

`m = (-2 - 1)/(-4 - 6)`

`m = (-3)/(-10)`

`\boxed{m = (3)/(10)}`