13. Which graph matches the linear equation: 6x+y=−4%0D%0A6%0D%0A%0D%0A+%0D%0A%0D%0A=%0D%0A−%0D%0A4%0D%0A(1 point)%0D%0AResponses

3 answers

Sorry, I cannot generate images or graphs. However, I can help you understand how to identify the graph of the given linear equation.

To graph a linear equation in the form "y = mx + b" (where m is the slope and b is the y-intercept), we need to rearrange the given equation into this form.

The given equation is:

6x + y = -4

To rearrange it, subtract 6x from both sides:

y = -6x - 4

Now we can identify the slope and y-intercept. The equation is in the form "y = mx + b", where the coefficient of x (-6) is the slope and the constant term (-4) is the y-intercept.

Therefore, the graph of the equation will have a slope of -6 and a y-intercept of -4. It will be a downward-sloping line that passes through the point (0, -4).

You can now look for the graph that matches these characteristics.
what whould be graphed
Based on the given linear equation 6x + y = -4, we can graph the equation as a line on a coordinate plane.

To graph the line, we need to find two points on the line or determine the slope and y-intercept.

First, let's rearrange the equation to the slope-intercept form (y = mx + b):
y = -6x - 4

From this equation, we can see that the slope is -6 and the y-intercept is -4.

To plot the line on a coordinate plane:
1. Start by plotting the y-intercept at the point (0, -4). This is the point where the line crosses the y-axis.
2. Use the slope (-6) to find another point on the line. Since the slope is the ratio of the vertical change to the horizontal change, we can move 1 unit to the right and 6 units down from the y-intercept to find the second point. This will give us the point (1, -10).

Now, connect the two points on the graph with a straight line. This line represents the graph of the equation 6x + y = -4.

Remember that I am unable to generate images or graphs, but I hope this explanation helps you understand how to graph the given linear equation.