Question

Please help me asap will appreciate it a lot

slope of a line passing through points A (3, 2) and B (-2, -3)?

Answer 1

1

Explanation:

So for this type of problem we use the formula
`m= (y_(2)-y_(1) )/(x_(2)-x_(1) )` with each variable (besides m which is slope) representing a different coordinate. (e.g. -3 could be
`y_(2)` in this case.) First, let's define which is which:

(3,2):
`x_(1), y_(1)`

(-2,-3):
`x_(2), y_(2)`

Now we need to replace the variables with their known values:
`m=(-3-2)/(-2-3)`

Next, let's do the subtraction to simplify:
`m=(-5)/(-5)`

And we can complete the division (all fractions are division!) to simplify even further:
`m = 1`

Therefore, the slope of the line passing through the points (3,2) and (-2,-3) is 1.