Calculate the slope of the line that contains the points (-2, 3) and (5,-3).

-6/7

Step-by-step explanation:

To find the slope of a line given two points on that line, you can use the slope formula: where you have points .  

When using that formula, do not put the subscripts when plugging in the answers.

Something that is equivalent to that formula and I think is easier to remember is:

Lining up the points and subtracting vertically and then putting 2nd difference over first difference.

Like this:

 (-2 ,  3)

- ( 5 , -3)

-------------

-7         6

So the slope is 6/-7 or -6/7.

It doesn't matter what order you do the points. You have done the (5,-3) on top instead.

Like this:

  ( 5, -3)

-  (-2,  3)

--------------

  7     -6

The slope is still -6/7.

If you don't like that and you do just directly like using that formula, then I will do it that way too.

So applying the formula either gives you: or .  Both will give us the same number.

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

step-by-step explanation:

given   that triangle lno is congruent to triangle lnm.

we have to fill up the blanks in the given question.

according to above order of congruency   kept in mind we can say that

∠lno ≅ ∠lnm

∠oln ≅ ∠mln

ln ≅ ln due to common in both.

hence, by sas congruency,

the side angle side rule   states that if two sides and the included angle of one triangle are congruent to another triangle, then these two triangles are congruent.