Question

Write the equation of the line that passes through (4, 2) and is parallel to the line y = 2x – 1.

Answer 1

first take the slope of the given equation
here the slope of given equation is
m=2
because in this type of equation always the constant of x is yur slope
now it is clear

Answer 2

but what's the answer?

Answer 3

lines are parallel
so slope will be same as before
m=2

Answer 4

now put the point in this equation
(y2-y1) = m( x2 -x1)
y-2 = 2 ( x - 4)
y-2 = 2x -8
2x -y -8 +2 =0
2x - y -6=0

Answer 5

this is the answer