Which graph best represents the solution to
1/4x−6=−4
The best graph to represent the solution to the equation 1/4x - 6 = -4 would be a linear equation graph. It would be a straight line in the coordinate plane.
To find the graph that best represents the solution to the equation 1/4x - 6 = -4, we can solve the equation and then plot the solution on a graph.
First, let's solve the equation step-by-step:
1/4x - 6 = -4
Add 6 to both sides of the equation to isolate the x term:
1/4x = 2
Next, multiply both sides of the equation by 4 to get rid of the fraction:
4 * (1/4x) = 4 * 2
x = 8
So the solution to the equation is x = 8.
Now, let's plot this on a graph. Since x = 8 is a single point, the graph would consist of a single point on the x-axis at x = 8.
So the graph that best represents the solution to the equation 1/4x - 6 = -4 is a vertical line passing through x = 8 on the x-axis.
To find the graph that represents the solution to the equation 1/4x - 6 = -4, we first need to simplify the equation. Let's go through the steps:
1. Begin with the original equation: 1/4x - 6 = -4.
2. To eliminate the fraction, we can multiply everything by 4 to get rid of the denominator: 4 * (1/4x - 6) = 4 * (-4).
This simplifies to: x - 24 = -16.
3. Now, let's isolate the variable. Add 24 to both sides of the equation: x - 24 + 24 = -16 + 24.
This simplifies to: x = 8.
Therefore, the solution to the equation is x = 8.
To represent this solution on a graph, we can plot a point at x = 8. Since the equation only involves one variable (x), the graph will be a straight line parallel to the y-axis passing through the point (8, 0).
In summary, the graph that best represents the solution to the equation 1/4x - 6 = -4 is a vertical line passing through the point (8, 0).