Question

What is the equation of the line that passes through (-5, -1) and is parallel to the line y=4x-6?

Answer 1

Hello : 
the equation all lines passes through (-5, -1) is :
y - (-1) = m(x -(-5))   m the slope
if this line parallal to the line y=4x-6 so : m= 4  (same slope )
the equation of the line that passes through (-5, -1) and is parallel to the line y=4x-6:    is  : 
 y+1 =4(x+5)
y = 4x +19