Math help please

Question

Consider the line with the equation: −4x+2y=2

 Give the equation of the line parallel to Line 1 which passes through (2,7): 

Give the equation of the line perpendicular to Line 1 which passes through (2,7) : 

Answer 1

-4x+2y = 2

-2x +y = 1

y = 2x +1 has slope = 2 = m

any parallel line has the same slope, m=2

through (2,7)

is the line equation

of

y-7 = 2(x-2)

y = 2x+3

take L1 and shift it up 2 units, 1+2 =3

y=2x+1 to

y=2x+3