Question

Graph the linear equation.

2x+6y=-6
Plot two points on the line to graph the line.
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Answer 1

To graph the linear equation 2x + 6y = -6, find two points on the line and connect them.

Step-by-step explanation:

To graph the linear equation 2x + 6y = -6, we can start by finding two points that satisfy the equation. Let's solve for y when x = 0 and x = 1:

1. When x = 0, 2(0) + 6y = -6. Solving this equation gives us 6y = -6, which means y = -1. So one point on the line is (0, -1).
2. When x = 1, 2(1) + 6y = -6. Solving this equation gives us 2 + 6y = -6, which means 6y = -8 and y = -4/3. So another point on the line is (1, -4/3).

Plotting these points on a graph and connecting them with a straight line gives the graph of the linear equation.

Learn more about Graphing linear equations