Answer:
Step-by-step explanation: Here's a step-by-step guide on how to graph the equation -3y + 6x = 6:
Isolate y: To isolate y, first subtract 6x from both sides of the equation: -3y + 6x = 6 => -3y = -6x + 6.
Divide both sides of the equation by -3: Dividing both sides of the equation by -3, we get: -3y / -3 = (-6x + 6) / -3.
Simplify the equation: On simplifying the equation, we get: y = 2x - 2.
Plot the y-intercept: The y-intercept of the equation is when x = 0. So, when x = 0, y = 2 * 0 - 2 = -2. This point is (0, -2). Plot this point on the graph.
Plot a second point: Pick a value of x and plug it into the equation to find the corresponding y value. For example, let's take x = 1. Plugging x = 1 into the equation, we get y = 2 * 1 - 2 = 0. This point is (1, 0). Plot this point on the graph.
Draw the line: Connect the two points plotted on the graph. This line represents the solution set of the equation.
That's it! You have successfully graphed the equation -3y + 6x = 6.