I'm going into 12th garde, but I've been playing catch up since 7th. I really need help

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Direct variation means one variable is a constant multiple of the other. The formula for direct variation is y = kx, where k is the constant of variation. If you are studying direct variation, this is what your teacher expects to see, as k is also involved in other form of variation that you will study later.

The first step is to solve for k using the information we know. The given point is (-10,30). So...

30 = k * -10

k = -3

Therefore, your equation is now y = -3x.

The basic equation for a straight line is:

y = mx + b

Where m is the slope of the line and b is the y-intercept. The term "direct variation" means that the y-intercept is zero (b = 0); that is, the line crosses through the origin (0,0), so that the equation is:

y = mx

So all we need to do is find the slope. The formula for the slope is the change in y over the change in x between any two points, (x_{1},y_{1}) and (x_{2},y_{2}), on the line:

m = (y_{2}-y_{1}) / (x_{2}-x_{1})

So to find m we need two points on the line. The problem gives us one (-10,30). Because this line is a "direct variation", we have the second point, (0,0).

m = (30-0) / (-10-0) = -30/10 = -3

Hence the equation of the line is:

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