which graph represents the solution of the given system?
y= -3x-4
y+4=-3x
Eq2: y + 4 = -3x.
Y = -3x - 4.
Eq1 and Eq2 are identical. Therefore, there are an infinite number of solutions. The graph is a single line.
This helps a lot thank you to make it obvious Henry means b
Well, you've got two equations there. Let's see what we can do!
The first equation, y = -3x - 4, is in slope-intercept form (y = mx + b). So we know that the slope is -3 and the y-intercept is -4.
The second equation, y + 4 = -3x, is in standard form (Ax + By = C). To get it into slope-intercept form, we can rearrange it to y = -3x - 4.
So both equations have the same slope and y-intercept. This means they have the same line.
In graph form, it would look like a single line going through the point (0, -4) and sloping downward.
Now, imagine a clown twisting this line into a pretzel shape just to mess with you! That's the graph representing the solution to this system.
To determine which graph represents the solution of the given system, we can rewrite the equations in slope-intercept form (y = mx + b).
1. The equation y = -3x - 4 is already in slope-intercept form, where the slope (m) is -3 and the y-intercept (b) is -4.
2. To rewrite the equation y + 4 = -3x in slope-intercept form, we need to isolate y. Subtracting 4 from both sides gives: y = -3x - 4.
Now that both equations are in slope-intercept form, we can see that they have the same slope (-3) and y-intercept (-4), which means the two equations represent the same line.
Therefore, the solution to the given system is a single line. To determine which graph represents this line, we would need the graphs to compare them visually.
To determine which graph represents the solution of the system of equations, we can solve the system by converting both equations to slope-intercept form (y = mx + b), where m represents the slope and b represents the y-intercept.
Let's start with the first equation:
y = -3x - 4
This equation is already in slope-intercept form. The slope is -3, and the y-intercept is -4.
Now, let's convert the second equation to slope-intercept form:
y + 4 = -3x
Subtract 4 from both sides:
y = -3x - 4
As we can see, the second equation is the same as the first equation. This means that both equations are equivalent, and they represent the same line when graphed.
Therefore, the correct answer is that both graphs represent the solution of the given system.