9514 1404 393
Answer:
A, D, E
Explanation:
When the graph of a relation is a straight line, the relation is said to be "linear." When the graph of the line goes through the origin (x, y) = (0, 0), then the relation is both "linear" and "proportional."
The "rate of change" of a line is the ratio of "rise" to "run". On a graph of a line, it is convenient to determine "rise" and "run" using points where the line crosses grid intersections. Of course, there is a crossing here at (0, 0). We notice another grid intersection crossing at the point corresponding to x=2 and y = -6. Then the "rise" (y-change) divided by the "run" (x-change) is ...
rate of change = rise/run = -6/2 = -3
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The equation of a line representing a proportion is of the form ...
y = kx
for some constant k. That constant is the "rate of change" of the proportion. Here, we found that rate of change to be -3, so the equation of the line is ...
y = -3x