Question

What is the equation of the line that is parallel to the given line and passes through the point (-3, 2)

• 3x-4y = -17

• 3x - 4y = -20

• 4x + 3y = -2

•4x + 3y = -6​

Answer 1

Parallel lines have the same slope. Find the slope of the "given" line

and then find the equation of the line with that same slope through (-3, 2)

Example: Find equation of the line parallel to y = -5x +4 through (-3, 2)

Slope of y = -5x + 4 is m = -5

Equation of line with slope -5 through (-3, 2)

y = -5x + b

2 = -5(-3) + b

2 = 15 + b

-13 = b

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