What is the equation of this line?

y=2/3x

y=−2/3x

y=3/2x

y=−3/2x

Step-by-step explanation:

Starting from the origin, you do by either moving two blocks south over three blocks west or two blocks north over three blocks east [west and south are negatives]. This graph is what is known as direct variation, a graph with NO y-intercept.

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In algebraic equations, it is easier to solve for an unknown term when that term is being isolated on one side of the equation. In the given equation, the unknown term "x" is not isolated because it is being multiplied by 6.4. To solve for x, it is essential to divide both sides by 6.4 to isolate x. It is shown as follows:

6.4x = 32

Dividing both sides by 6.4:
(6.4x)/6.4 = 32 / 6.4

x = 5

Therefore, 6.4 should be divided to both sides to solve for x.