what is the equation of a line passing through (2,-1) and parallel to the line represented by the equation y=2x+1?

Question

anonymous · Answer

The required line is parallel to the given line, meaning that their slopes must be equal. 
slope of the given line = 2
(by comparing y = mx + c)

Therefore, slope of the required line must also be = 2

and it must pass through the given point. 

Therefore, using the slope-point form of the line equation, we can find out the equation. 

y - y1 = m(x - x1)

Therefore

y - (-1) = 2 * (x-2)

y+1 = 2x - 4

y = 2x - 5 is the required answer

anonymous · Answer

Got it.  Thank You so much!

anonymous · Answer

What is the equation of a line that is parallel to the line whose equation is y=X+2?