Question

Drag numbers to the blanks to complete the sentence about rewriting the linear equation x + 3y = 2. The equation x + 3y = 2 can be rewritten in the equivalent form y = ___? x+ ___?, which reveals a slope equal to ___??-3. -2. -1. -2/3. -1/3. 1/3. 2/3. 1. 2. 3.

Answer 1

x + 3y = 2

x is adding on the left, then it will subtract on the right

3y = 2 - x

3 is multiplying on the left, then it will divide on the right

$y=\frac{2-x}{3}$

Distributing and reordering,

$\begin{gathered} y=\frac{2}{3}-\frac{x}{3} \\ y=-\frac{1}{3}x+\frac{2}{3} \end{gathered}$

The slope of the line is the coefficient alongside variable x, in this case, the slope is -1/3