Michael F. answered • 02/10/15

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Hello Alicia,

The following is my breakdown of this problem.

**Note: Standard format is Ax + By = C where A,B, & C can not be in fraction or decimal format**

English: Find slope of given equation 2x - 5y = -15 by solving for y

English: subtract 2x from both sides

Math: -5y = -2x - 15

English: Divide all terms by -5

Math: y = 2/5x + 3

English: Identify Slope

Math: m = 2/5 (So we know that the new equation will have a slope of 2/5 but a different y-intercept which is the definition of parallel lines)

English: write format for slope-intercept and substitute the x & y from the given point and the slope to find the y-intercept ( b )

Math: y = mx + b point (-5,4) where x = -5 and y = 4

4 = (2/5)(-5) + b

4 = -2 + b

6 = b

English: Rewrite equation in y = mx + b format

Math: y = 2/5x + 6

Math: y = 2/5x + 6

English: Convert Equation of y = 2/5x + 6 into Standard Format Ax + By = C

Subtract 2/5x from both sides

Math: -2/5x + y = 6

English: Multiply every term by -5 (This is to get rid of the fraction)

Math: 2x - 5y = -30

English: Write Answer

**The standard format**

**of the equation that is parallel to 2x - 5y = -15 is 2x - 5y = -30**

*I hope that Helps!*