Reorder the steps of the proof to make sure that steps that are logically dependent on prior steps are in the proper order.

Step-by-step explanation:

Correct order to prove BD bisects ∠ABC is,

              Statements                              Reasons

1). AB ≅ BC                                1). Given

   D is the midpoint of AC                

2). AD ≅ DC                              2). A midpoint divides a segment into two

                                                       congruent segments.

3). BD ≅ BD                              3). Reflexive property

4). ΔABD ≅ ΔCBD                    4). SSS property

5). ∠ABD ≅ ∠CBD                    5). Corresponding parts of congruent

                                                      triangles are congruent (CPCTC)

5x + 3y = - 4

step-by-step explanation:

the equation of a line in standard form is

ax + by = c ( a is a positive integer and b, c are integers )

express the line first of all in slope- intercept form

y = mx + c ( m is the slope and c the y-intercept )

to calculate m use the gradient formula

m = ( y₂ - y₁ ) / ( x₂ - x₁ )

with (x₁, y₁ ) = (7, - 3) and (x₂, y₂ ) = (4, - 8)

m = = -

y = - x + c ← is the partial equation

to find c substitute either of the 2 points into the partial equation

using (4, - 8 ), then

- 8 = - + c ⇒ c = -

y = - x - ← in slope-intercept form

multiply all terms by 3 to eliminate the fractions

3y = - 5x - 4 ( add 5x to both sides )

5x + 3y = - 4 ← in standard form