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

Question

imer · Answer

Parallel lines have same slope, use differentiation to find the slope of the equation and then create an equation for line using the point (2,-1)

imer · Answer

$$y'=2$$means slope of the parallel line is "2".
$$y-y0=m(x-x0) \rightarrow y-(-1)=2(x-2) \rightarrow y=2x-5$$

imer · Answer

If you have not covered differentiation, you don't need to worry, just look for slope in the equation $$y=2x+1$$ which is in form of $$y=mx+c$$ where "m" is the slope, and for sure slope is "2"