Final answer:
To graph the linear equation 3x+y=-3, rearrange it in slope-intercept form y = mx + b, plot the y-intercept and use the slope to find additional points for the graph.
Step-by-step explanation:
To graph the linear equation 3x+y=-3, we first need to rearrange it in slope-intercept form, which is y = mx + b. Here, m represents the slope and b represents the y-intercept. So, let's rearrange the equation: y = -3x - 3. Now we can plot the y-intercept which is -3 on the y-axis, and using the slope -3x, we can find additional points to plot on the graph. For example, for x = 0, we get y = -3(0) - 3 = -3. Plotting these points, we can then draw a straight line passing through them to graph the equation.
Learn more about Graphing linear equations