Question

can you help me solve this equation and graph it while showing me the steps to your solution? I'd greatly appreciate it!!

Answer 1

See explanation below

Step-by-step explanation:

y/3 - x/6 = -2

Writing the above equation in the form y = mx + c

`\begin{gathered} (y)/(3)=-(x)/(6)-2 \\ \text{Multiply both sides by 3:} \\ (3y)/(3)\text{ = 3(}-(x)/(6)-2) \\ y\text{ =}(-3x)/(6)-6 \\ y\text{ =}(-1x)/(2)-6 \end{gathered}`

To solve the equation by graphing, we need to assign values to x to get the corresponding values of y:

let x= 0, 2, 4

when x = 0

y = -1/2(0) - 6 = 0 -6

y = -6

when x = 2

y = -1/2(2) - 6 = -1 -6

y = -7

when x = 4

y = -1/2(4) - 6 = -4/2 - 6 = -2 - 6

y = -8

Plotting the values of x against y:

The y intercept is the point the x coordinate is zero. From the graph, it is at y = -6

The x intercept is the point the y coordinate is zero. From the graph, it is at x = 4