What is the equation in standard form of a parallel line that passes through (0,-2)? The line parallel to (0,-2) is y=-4x+4

Question

lord_box · Answer

Try using the same process I showed you, except using the fact that parallel lines have identical slopes.

lord_box · Answer

Point-Slope form --> y = mx + b --> move mx to the left

yoyo2443 · Answer

$$y+2=-4(x-0)$$

yoyo2443 · Answer

-4 being the slope cause of the y=-4x+4

lord_box · Answer

that's right, now to y = mx + b form

yoyo2443 · Answer

$$y=-4x+2$$

lord_box · Answer

Careful, you subtracted 2 from the left side, so you should subtract from the right as well.

yoyo2443 · Answer

But I did subtract... ? from $$y+2=-4(x-0)$$ $$y=-4x+2$$

lord_box · Answer

$$y + 2 = -4x$$$$y + 2 - 2 = -4x - 2$$

yoyo2443 · Answer

Oh right I forgot about the 0..

yoyo2443 · Answer

$$y+2-2=-4x-2$$ $$y=-4x-2$$ $$4x+y=-2$$?

skullpatrol · Answer

$$4x + y = -2$$ is correct :-)

yoyo2443 · Answer

Thanks you two!

skullpatrol · Answer

Thanks for asking.