In a linear relationship, the rate of change of one variable with respect to the other is constant. When we talk about change, we're looking for a difference of values.

If we look at the first and second rows, the change in x is 1 - (-1) = 2, while the change in y is 9 - 10 = -1. Usually we refer to these changes as Δx and Δy (read like "delta-x" and "delta-y"), and the rate of change is the number we get by dividing one of these by the other.

The rate of change we're used to seeing, sometimes called the slope, is Δy/Δx. So, using the values we've already found:

$\Delta{x}=2\\\Delta{y}=-1\\\Delta{y}/\Delta{x}=-1/2$

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3 years ago

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I need help on number 35

scoray [572]

The symbol they are using is that of a ray so, order matters.

Ray BC is telling you the ray starts at point B like a line segment BUT continues on towards and through point C rather than stopping at it.

Ray CB is telling you just the opposite; the ray starts at point C, continues on towards and through point B.

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3 years ago