Question

Which steps should be used to graph the equation y-4=(x+2)/3?

Answer 1

Given equation:

`y-\text{ 4 = }(1)/(3)(x\text{ + 2)}`

To plot the graph of the equation, we need to obtain at least two points.

Step 1: Plug x = 0 into the equation and solve for y

`\begin{gathered} y\text{ - 4 = }(1)/(3)(0\text{ + 2)} \\ y\text{ - 4 = }(1)/(3)*\text{ 2} \\ y\text{ -4 = }(2)/(3) \\ y\text{ = }(2)/(3)\text{ + 4} \\ y\text{ = }(2+12)/(3) \\ \text{ y= }(14)/(3) \end{gathered}`

One of the points is (0, 14/3)

Step 2: Plug y = 0 into the equation and solve for x.

`\begin{gathered} 0\text{ - 4 = }(1)/(3)(x\text{ + 2)} \\ -4\text{ = }(1)/(3)(x\text{ + 2)} \\ \text{Multiply both sides by 3} \\ -12\text{ = x + 2} \\ x\text{ = -14} \end{gathered}`

Another point is (-14, 0)

Step 3: Draw a straight line between the two points.