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Using the Property of Equality, what first step would you take to rearrange the formula y=mx+b using x as the quantity of interest?

To rearrange the formula y = mx + b using x as the quantity of interest, the first step would be to isolate x on one side of the equation.

Starting with the given formula:

y = mx + b

We want to express x in terms of the other variables.

First, subtract b from both sides of the equation:

y - b = mx

Now, we have mx on one side of the equation.

Next, divide both sides of the equation by m:

(y - b)/m = x

Now, we have x isolated on one side of the equation, and the formula is rearranged to express x as the quantity of interest.

To rearrange the formula y=mx+b using x as the quantity of interest, we will isolate x on one side of the equation.

Step 1: Start by subtracting b from both sides of the equation:

y - b = mx

This equation now represents the relationship between y, x, m, and b, with x as the quantity of interest.

To rearrange the formula y=mx+b using x as the quantity of interest, we can use the Property of Equality, which states that if two equations are equal, then we can perform the same operation on both sides and still maintain the equality.

Here's how we can rearrange the formula:

Step 1: Start with the equation y = mx + b.

Step 2: To isolate x, we need to get rid of the mx and b terms. To do this, we will subtract b from both sides of the equation. This step is a valid operation since we are applying the same operation to both sides of the equation, thereby maintaining equality.

y - b = mx + b - b

Step 3: Simplify the equation by canceling out the b term on the right side.

y - b = mx

Step 4: Now, we have isolated x on the right side of the equation. To write x as the quantity of interest, we can rearrange the equation as follows:

mx = y - b

Step 5: Finally, divide both sides of the equation by m to solve for x.

x = (y - b) / m

Thus, by applying the Property of Equality and performing the necessary operations, we have rearranged the formula y=mx+b to express x as the quantity of interest: x = (y - b) / m.