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

Question

i need the equation of the line that is parallel to the given line that passing through the point -3,2

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

 

Equation:  y = -5x - 13