See explanation below
Explanation:
y/3 - x/6 = -2
Writing the above equation in the form y = mx + c
[tex]\begin{gathered} \frac{y}{3}=-\frac{x}{6}-2 \\ \text{Multiply both sides by 3:} \\ \frac{3y}{3}\text{ = 3(}-\frac{x}{6}-2) \\ y\text{ =}\frac{-3x}{6}-6 \\ y\text{ =}\frac{-1x}{2}-6 \end{gathered}[/tex]
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
