What is the equation of the line that passes through the point (-2, 4)?

Question

anonymous · Answer

I got y=-2, but I'm not sure if that's right.

jim_thompson5910 · Answer

You're just given one point?

phi · Answer

You need 2 points to define a unique line.

If you have one point, there are lots (an infinite number) of lines that you can draw through the point
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phi · Answer

But if you want just some line through (-2,4)

you can pick  the line x=-2   (notice -2 is the x value in (-2,4) )
or y=4

there are many other lines (equations) we could pick, but those are the easiest to write down.

anonymous · Answer

Thank you!

anonymous · Answer

I think I got it now. :)

phi · Answer

If you wanted a line with a slope of 1 that goes through (-2,4)
you would use this formula
$$ y - y_0= m(x-x0) $$
where $ (x_0,y_0) $ is a point on the line

with m=1, x0= -2 and y0= 4 we have
y -4 =1(x- (-2))
y -4 = x +2
y = x+6

that is another line.