Question

Drag the red and blue dots along the x-axis and y-axis to graph 6x+2y=20

Answer 1

Explanation

Given information

`6x\text{ + 2y = 20}`

To graph the above function, we need to find the y-intercept and x-intercept

Step 1: Make y = 0 to find the x-intercept

`\begin{gathered} 6x\text{ + 2y = 20} \\ y\text{ = 0} \\ 6x\text{ - 2(0) = 20} \\ 6x\text{ - 0 = 20} \\ 6x\text{ = 20} \\ \text{Divide both sides by 6} \\ (6x)/(6)\text{ = }(20)/(6) \\ x\text{ = }(20)/(6) \\ ((20)/(6),\text{ 0 )} \end{gathered}`

Step 2: Make x= 0 to find y-intercept

`\begin{gathered} 6x\text{ + 2y = 20} \\ 6(0)\text{ + 2y = 20} \\ 0\text{ + 2y = 20} \\ 2y\text{ = 20} \\ \text{Divide both sides by 2} \\ (2y)/(2)\text{ = }(20)/(2) \\ y\text{ = 10} \\ (0,\text{ 10)} \end{gathered}`

Step 3: Graph the solution