Question

Find the slope of the line between the coordinates (-6,-13) and (3,-1)

Answer 1

The slope of the line between the coordinates (-6,-13) and (3,-1) is calculated using the slope formula and is found to be 4/3.

Step-by-step explanation:

To find the slope of the line between the coordinates (-6,-13) and (3,-1), we can use the slope formula:

m = ∆y / ∆x = (y2 - y1) / (x2 - x1)

Substitute the given points into the formula:

m = (-1 - (-13)) / (3 - (-6))

m = (12) / (9)

m = 4 / 3

Therefore, the slope of the line is 4/3.

Answer 2

To find the slope of this line, we must use the equation:

`slope=(x_(2)-x_(1))/(y_(2)-y_(1))`

Where
`(x_(1), y_(1))` and
`(x_(2), y_(2))` can be assigned to either point.

Let's use (-6, -13) as the point "1" and (3, -1) as the point "2":

`slope=(3-(-6))/(-1-(-13))`

`slope=(9)/(12) =(3)/(4)`

So now we know that the slope between these two points is
`(3)/(4)`.