Question

what is the equation of the line passing through (-3,6) and parrellel to the line y=4x-2 in standard form?

Answer 1

Anything parallel to y = 4x-2 has a slope of 4


y = mx+b

y = 4x+b

6 = 4(-3)+b

6 = -12+b

6+12=b

18 = b

b = 18


So the equation of the line is y = 4x+18

Now convert to standard form

y = 4x+18

-4x+y = 18

4x-y = -18