Find an equation of the line given the slope and a point Question
Find the equation of the line with slope m = that contains the point (-10,-5).
5
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(-2, -5)

General Formulas and Concepts:

Pre-Algebra

Order of Operations: BPEMDAS

Brackets Parenthesis Exponents Multiplication Division Addition Subtraction Left to Right

Equality Properties

Multiplication Property of Equality Division Property of Equality Addition Property of Equality Subtract Property of Equality

Algebra I

Solving systems of equations using substitution/elimination

Step-by-step explanation:

Step 1: Define Systems

3x + 2y = -16

-3x - 8y = 46

Step 2: Solve for y

Elimination

Combine 2 equations:                    -6y = 30Divide -6 on both sides:                 y = -5

Step 3: Solve for x

Define equation:                    3x + 2y = -16Substitute in y:                       3x + 2(-5) = -16Multiply:                                  3x - 10 = -16Add 10 on both sides:            3x = -6Divide 3 on both sides:         x = -2