Find the equation of the line passing through (0,−1) and perpendicular to the line passing
through the points (1, 2) and (5, 4)

Question

anonymous · Answer

2x+y+1=0

anonymous · Answer

what's this?

anonymous · Answer

the equation u want

anonymous · Answer

slope of the line through (1,2) and (5,4) is 
$$\frac{4-2}{5-1}=\frac{2}{4}=\frac{1}{2}$$

anonymous · Answer

how did u get the equation?

anonymous · Answer

slope of perpendicular line is therefore -2
you already have the y - intercept so equation is 
$$y=-2x-1$$

anonymous · Answer

ok.
at first solve the equation of the line passing through (1,2) (5,4).do u know how to do that?

anonymous · Answer

yes

anonymous · Answer

now.lthe multiplication of slopes of 2 lines perpendicular to each other is=-1

anonymous · Answer

so,u get the slope of the line.u know that y=mx+c.put the values of y,m & x.u get c.so,ur equation is ready