Question

If a line A is parallel to line y = 3x - 6 and it cuts the y-axis at point (0, 4), then the equation of the line is:

Answer 1

Answer:

y=-3x-14

Explanation:

Any line parallel to y=-3x+6

will be in the form y=-3x+c for some constant c

If (x,y)=(-3,-5) is a solution to such an equation, then replacing y with (-5) and x with (-3) gives

-5=(-3) *(-3)+c

rarr -5=9+c

rarr c=-14

So the desired parallel line would have the equation

y=-3x-14