Question

The line that passes through (-2, 4) and is parallel to x - 2y = 6

Answer 1

pareral lines have same gradient

so
x - 2y = 6
2y = x - 6
y = (1/2)x - 3
so the gradient is 1/2

so the parallel line has the same gradientso
Y = (1/2)X + c
then plug -2,4 (as the line passes through that point) to that equation to get c

4 = (1/2) * (-2) + c
c = 5

so the equation is
Y = (1/2)x + 5
2y = x + 10
x - 2y - 10 = 0