What is the slope intercept form of the equation y+5= 4(x+8)

Step-by-step explanation:

we know that

The equation of the line into slope intercept form is equal to

where

m is the slope

b is the y-intercept

we have

----> equation of the line into point slope form

Convert to slope intercept form

Isolate the variable y

Distributed left side

subtract 5 both sides

D. (-1, 3/2)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right  

Distributive Property

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtraction Property of Equality

Algebra I

Coordinates (x, y)Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define System

4x + 2y = -1

3x + 4y = 3

Step 2: Rewrite System

4x + 2y = -1

[Multiplication Property of Equality] Multiply -2 on both sides:                     -2(4x + 2y) = 2[Distributive Property] Distribute -2 on both sides:                                        -8x - 4y = 2

Step 3: Redefine Systems

-8x - 4y = 2

3x + 4y = 3

Step 4: Solve for x

Combine equations:                                                                                         -5x = 5[Division Property of Equality] Divide -5 on both sides:                                x = -1

Step 5: Solve for y

Substitute in x [Original Equation]:                                                                  3(-1) + 4y = 3Multiply:                                                                                                             -3 + 4y = 3[Addition Property of Equality] Add 3 on both sides:                                     4y = 6[Division Property of Equality] Divide 4 on both sides:                                  y = 3/2